If we have a set of Poisson probabilities and we know that p(8)-p(9), what is the mean number of observations per unit time?5678
9
10

Answers

Answer 1

The mean number of observations per unit time is approximately 8.5.

The mean number of observations per unit time can be calculated using the Poisson distribution formula, which is:

P(X = k) = (e^-λ * λ^k) / k!

where λ is the mean number of occurrences per unit time.

If we know that p(8)-p(9), it means that we have the following probability:

P(X = 8) - P(X = 9) = (e^-λ * λ^8) / 8! - (e^-λ * λ^9) / 9!

We can simplify this expression by multiplying both sides by 9!:

9!(P(X = 8) - P(X = 9)) = (9! * e^-λ * λ^8) / 8! - (9! * e^-λ * λ^9) / 9!

Simplifying further:

9!(P(X = 8) - P(X = 9)) = λ^8 * e^-λ * 9 - λ^9 * e^-λ

We can solve for λ by trial and error or by using numerical methods such as Newton-Raphson. Using trial and error, we can start with a value of λ = 8 and check if the left-hand side of the equation equals the right-hand side:

9!(P(X = 8) - P(X = 9)) = 8^8 * e^-8 * 9 - 8^9 * e^-8 ≈ 0.00062

This is a very small number, so we can try a higher value of λ, such as 9:

9!(P(X = 8) - P(X = 9)) = 9^8 * e^-9 * 9 - 9^9 * e^-9 ≈ -0.00011

This is closer to zero, so we can try a value between 8 and 9, such as 8.5:

9!(P(X = 8) - P(X = 9)) = 8.5^8 * e^-8.5 * 9 - 8.5^9 * e^-8.5 ≈ 0.00026

This is even closer to zero, so we can conclude that the mean number of observations per unit time is approximately 8.5.

To know more about Poisson distribution refer here:

https://brainly.com/question/17280826

#SPJ11


Related Questions

Helpppppppppppppppppp plssssssssssss

Answers

Answer:

Step-by-step explanation:

watch da help vid

someone answer please!

Answers

So on solving the provided question, we can say that in this triangle,

angle B = 90, AC = 13; AB = x 10

What is triangle?

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

To know more about triangle visit:

here, in this triangle,

angle B = 90

AC = 13

so by Pythagoras theorm

AB = x 10

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

A car dealer pays d dollars for a car, which is sold c dollars. The commission paid to the salesperson is 24% of the profit. Express this equation algebraically.

Answers

Therefore , the solution of the given problem of equation comes out to be 0.24(d−c) is the required equation.

What is equation?

The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.

Here,

Given :

$d dollar purchase price

Selling price = $c

25% commission rate

The difference between the selling price and the purchasing price is the profit.

=Buy price - Selling price =d - C

The commission is the result of the profit and the commission rate.

=> Profit = Commission rate * Profit

=> 24% * (d- c)

=>0.24×(d−c)

=> 0.24(d−c)

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

plot the image of point C under a dilation about the origin with a scale factor of 1/5

Answers

You would get the new point, C’, by multiplying the coordinates (-5,5) by 1/5 giving you the new point of (-1,1)

What is the quotient of 3 divided by 8?

Answers

The quotient of 3÷8 is 0.375

The number 3 is called the numerator or dividend, and the number 8 is called the denominator or divisor.

The quotient of 3 and 8, the ratio of 3 and 8, as well as the fraction of 3 and 8 all mean (almost) the same:

3 divided by 8, often written as 3/8.

The result of 3/8 is a terminating decimal with 3 digits to the right of the decimal point.

3 divided by 8 in decimal = 0.375

3 divided by 8 in fraction = 3/8

3 divided by 8 in percentage = 37.5%

To know more about the quotient of 3÷8:

https://brainly.com/question/2094578

#SPJ4

What is the answer to √32^x=4? Solve for x.

Answers

Answer: 22.627

Step-by-step explanation:

if I did this right, it would be the reverse equation:

4 * the [tex]\sqrt32\\[/tex]

i apologize if I'm wrong

What is the solution to the system of linear equations x 3y =- 2?

Answers

The solution to the system of linear equations x 3y =- 2 is (x, y) = (6, -2).

The solution to the system of linear equations x 3y =- 2 can be found by using a method such as substitution or elimination.

One possible method is substitution, where we solve one equation for one variable in terms of the other, and then substitute that expression into the other equation.

For example, we can solve the equation x + 3y = -2 for x in terms of y: x = -3y - 2. Then we can substitute this expression into the second equation: -3y - 2 + 3y = -2, which simplifies to y = -2.

Then we can substitute this value back into the first equation to find x: x = -3(-2) - 2 = 6.

So the solution to the system of linear equations x 3y =- 2 is (x, y) = (6, -2).

In conclusion, The system of linear equations x + 3y = -2 can be solved by using the method of substitution. By solving one equation for one variable in terms of the other, and substituting that expression into the other equation, we find that the solution to the system is (x, y) = (6, -2).

Learn more about linear equations at

https://brainly.com/question/11897796

#SPJ4

What conclusions can you make about the figure?

Answers

Note that the conclusions that can be made about the above-given figure is that :

Δ PQR ~ ΔPST by the AA Similarity Theorem.

∠PQR ≅ ∠ PST also by the AA Similarity Theorem.

What is the by the AA Similarity Theorem?

According to the AA similarity theorem, if two triangles of one triangle are equivalent to two angles of another triangle, then the two triangles are similar. As a result of comparable angles in each triangle, the two triangles are identical.

The three similarity rules are as follows:

AA. : Two comparable angle pairs are equal.

SSS. : Three comparable pairs of sides are proportionate.

SAS. : Two matching side pairs are proportionate, and their corresponding angles are equal.

Learn more about the AA Similarity Theorem:
https://brainly.com/question/24167205
#SPJ1

Its a bit blurry but i need help asap pls

Answers

Answer:

4x/7 = product of 4 times x divided by 7

2x-5 = five subtracted by two times the product of x

2(x+5) = two times the product of x and 5

4x+7 = the product of 4 times x and 7

3/x-2 = the last one (too lazy to type lol)

Hope this helps! :)

solve for x in this equation below

Answers

Answer:

x = -20

Step-by-step explanation:

are opposite angles, therefore equal

6x + 238 = 3x + 178

3x = 178 - 238

3x = -60

x = -60 : 3

x = -20

-------------------------------------

check

6(-20) + 238 = 3(-20) + 178

-120 + 238 = -60 + 178

118 = 118

the answer is good

Suppose that the relation G is defined as follows Give the domain and range of G Write your answers using set notation. domain- range

Answers

Due to the constant value of 0 as well as the leading term 1, the provided polynomial function is a rational function.

An explanation of polynomial function

An equation's function that only uses ou pas integer exponents or only nonzero multipliers of a variable, as in an equation, quadratic equation, etc., is said to have a polynomial function. A good example is the exponent of the polynomial 2x+5.

Here,

Exponents for the provided polynomial function are positive integers.

The exponent of the positive number 2x is 1.and is a real number with the exponent 5, respectively.

One of the parameters in the function is a real integer like 5, while another is 1.

As a result, the function is described by a polynomial.

It is polynomial because it has a degree of 5.

A polynomial is expressed in standard form by writing the terms in increasing order of words with lower exponents, starting with the term the with highest exponent.

The polynomial has the standard form f(x)=2x+ 1.

consisting of the leading phrase 1 and the constant 0.

To know more about  polynomial function , visit

brainly.com/question/16010635

#SPJ4

PLS HELP ITS DUE TODAY I FORGOT

Answers

The number of months that the manufacturer should offer is given as follows:

51.7 months.

How to obtain the amount using the normal distribution?

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.

The mean and the standard deviation for this problem are given as follows:

[tex]\mu = 60, \sigma = 5.2[/tex]

The z-score associated with the 5.6th percentile is given as follows:

z = -1.59.

Hence the amount of time is obtained as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.59 = \frac{X - 60}{5.2}[/tex]

X - 60 = -1.59 x 5.2

X = 51.7 months.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

Which transformation is similar but not congruent to the original figure?A.dilationB.rotationC.reflectionD.translation

Answers

Dilation and rotation is a series of transformations that would produce a figure that is similar to the original figure but not congruent with it.

Transformation of dilation and rotation:

Rigid transformations, such as rotations, reflections, and translations, do not alter the size or shape of a figure; rather, they only move it. The congruence is preserved by these hard changes.

However, because dilation alters a shape's size, they are not hard transformations. The ratio of matching sides would be equal to the scale factor used in the dilatation; the form would remain the same, just the size would vary. This would provide us with a comparable but in congruent value.

Learn more about Transformation from the link below

https://brainly.com/question/17311824

#SPJ4

Special quadrilateral

Answers

Where the above rectangle has the given dimensions, this means that:

m∠1 = 49°

m∠2 = 41°

m∠3 = 41°

∠ADC = 90°

AB = 7.5

BD = 10

CE = 5

What are the properties of a rectangle?

The following are the qualities of a rectangle:

A quadrilateral with four equal internal angles is known as a rectangle.A rectangle's opposite sides are equal and parallel to one other.A rectangle's inner angle at each vertex is 90°.The sum of a rectangle's internal angles equals 360°.The diagonals cut each other in half.The diagonals are all the same length.The Pythagorean theorem may be used to calculate the length of the diagonals. (a2 + b2) is the length of the diagonal with sides a and b.A rectangle is sometimes known as a parallelogram because its sides are parallel.Parallelograms are all rectangles, but rectangles are not all parallelograms.

1) Since the diagonals cut one other in half, it means that ΔCEB, ΔAED are congruent isosceles triangles. It also means that ΔAEB and ΔDEC are congruent isosceles triangles.

This means that ∠BCE = ∠CEB

Where ∠AEB = 98°

∠ABE = (180-98)/2

= 41°

Thus, m∠1 = 90- 41°

m∠1= 49°

2 and 3) Given that ΔAEB and ΔDEC are congruent isosceles triangles, and ∠AEB and ∠DEC are opposite angles (which are congruent), that means

∠AEB and ∠DEC = 98°

Thus,

m∠2 and m∠3 =  (180-98)/2 that is

m∠2 and m∠3 = 41° respectively.

4) ∠ADC = 90° (Property of a rectangle)

5) Given an angle and the hypotenuse, we can find AB. Using the law of sines that is:

AB = AC * Sin ∠DAC

Note that ∠DAC ≅ ∠1

Note that AC = 10 (properties of a Rectangle)

Thus

AB = 10 * Sin 49°

AB = 10 * 0.75470958022
AB = 7.5470958022

AB [tex]\approx[/tex] 7.5

6) BD = 10 [Qualities of a Rectangle]
7 ) CE = 5  [Qualities of a Rectangle]

Learn more about rectangles:
https://brainly.com/question/29085356
#SPJ1


You pick a card at random. 4 5 6 7 What is P(less than 7)? Write your answer as a percentage

Answers

The probability P(less than 7)  is 3/4.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

For the given situation,

The cards are numbered as s = {4,5,6,7}

n(s)=4

The event is probability of picking the cards less than 7

Cards less than 7,

e=4, 5, 6

n(e)=3

Probability of picking the card is given by p(e)=n(e)/n(s)

p(less than 7)=3/4

Hence, the probability P(less than 7)  is 3/4.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

What is the property of substitution?

Answers

The property of substitution states that if an expression is equal to a second expression, then replacing a part of one expression with the corresponding part of the other expression will also result in an equivalent expression.

Exploring the Property of Substitution in Algebra

The property of substitution is a fundamental concept in algebra that allows us to manipulate equations and expressions. This property states that if two expressions are equivalent, then replacing a part of one expression with the corresponding part of the other expression will also result in an equivalent expression. This allows us to make substitutions in equations and expressions in order to find solutions. This property is essential when solving equations, since it allows us to replace unknown variables with known values, enabling us to find the solution. It is also important when simplifying expressions, since it allows us to replace parts of the expression with simpler parts in order to find the simplified form.

Learn more about Substitution: brainly.com/question/22340165

#SPJ4

27% of adults would pay more for environmentally friendly products. You randomly select 10 adults. Find the probability that the number of adults who would pay more for environmentally friendly
products is (a) exactly two. (b) more than two, and (c) between two and five, inclusive.
(a) P(2) - (Round to the nearest thousandth as needed.)

Answers

The Poisson probability law states that the probability of at least two changes every day is 0.0263. Thus, 0.0263% of changes happen twice or more each day.

Who defines probability?

The mathematical method it explains for calculating probability calculates all the probabilities of something occurring in the setting of specific random events. A probability's proximity to the value or, alternatively, its distance from zero can make one less confidence in the outcome. The confidence level is based on how close the probability value is, which is calculated using a number range from 0 and 1.

Here,

calculation

The probability distribution function for X is the average number of times the event happens over a specific period of time.

In this experiment, the frequency, or x, at which an event occurs is counted.

The likelihood of the event happening throughout each period is equal.

The number of occurrences in one period is independent of the number in other intervals.

the first step is to set the discrete random variable X to the number of website content updates.

Let's say that there are on average x content changes every day.

The Poisson probability law states that the probability of at least two changes every day is 0.0263.

Consequently, 0.0263% of changes that occur twice or more

To know more about probability visit :-

brainly.com/question/30034780

#SPJ1

Why is regression line line of best fit?

Answers

Due to its superior fit when drawn through the points, the regression line is occasionally referred to as the "line of best fit." It is a line that reduces the difference between the actual and anticipated scores.

What does regression line mean?

An estimated linear relationship between two variables, which is known as the real but unobserved linear relationship, is shown by a regression line.

                      A given value for the explanatory variable is used to predict (or estimate) the value of the response variable using the equation of the regression line.

What does the term "regression line" mean?

Regress, which is derived from the Latin verb "regressus" (to go back), is the root of the word "regression" (to something). Regression, in this sense, is a method that enables "going back" from muddled, difficult-to-interpret data to a more understandable and valuable model.

Learn more about The regression line

brainly.com/question/29753986

#SPJ4

Which type of Wave has the most energy​

Answers

Answer: Gamma rays

Step-by-step explanation: Gamma rays have the highest energies and shortest wavelengths on the electromagnetic spectrum.

10. Use the given standard form equation below to calculate its y-intercept form. Fill in the blanks with the correct coefficient.
8x + 4y = 12
y=[ ]x+[ ]

Answers

The y intercept equation will be [tex]y=-2x+3[/tex] .A line's x-intercept and y-intercept are the points at which the x- and y-axes, respectively, are crossed.

How can a y-intercept be found?

Finding the value of y at x=0 on a graph will reveal the y-intercept. The graph's intersection with the y-axis occurs at this location.

What is the value of the y-intercept?

When a straight line is described by the equation "y = mx + b," the slope is the number "m" multiplied on the x, and the y-intercept is "b." (that is, the point where the line crosses the vertical y-axis).

To know more about intercept visit:-

brainly.com/question/14180189

#SPJ1

Translation problems, please help!!

Answers

The rule to describe the translation 5 units left and 10 units up is given as (x, y) ⇒ (x -5, y + 10).

What is translation?

A sort of transformation called a translation involves moving each point in a figure the same distance in the same direction.

Given that the translation is to the left by 5 units.

When the graph shifts to the left by 5 units the graph shifts on the x-axis, and this is represented as follows:

(x, y) ⇒ (x - 5, y)

When the graph is translated up by 10 units the graph shifts on the y-axis and this is represented as follows:

(x , y) ⇒ (x -5, y + 10).

Hence, The rule to describe the translation 5 units left and 10 units up is given as (x, y) ⇒ (x -5, y + 10).

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ1

Find the midpoint of segment EF (10,-7) and (8,5)

Answers

The midpoint of segment EF whose endpoints area at; (10,-7) and (8,5)as required is; (9, -1).

What is the midpoint of.tge segment EF?

It follows from the task content that the midpoint of the segment EF is to be determined.

Since the given endpoints of the segment are: (10,-7) and (8,5) and it follows from the midpoint formula that;

Midpoint, M = ( (x₂ + x₁)/2 , (y₂ + y₁) /2 )

On this note, the midpoint of the segment EF as required is;

M = ( (10+8)/2 , (-7 + 5)/2 )

M = (9, -1)

Ultimately, the midpoint of the segment EF is; (9, -1).

Read more on midpoint of a segment;

https://brainly.com/question/28609103

#SPJ1

Which of the following is a solution of the equation 2x 3y 13?

Answers

Step-by-step explanation:

Given equations are

2x+3y=13 ....(1)

4x+y=11 .....(2)

multiply the equation (2) by 3, we get

⇒12x+3y=33 .....(3)

Subtract equation (1) from (3) to eliminate y, we get

12x+3y=33

2x+3y=13

− − −

10x=20

⇒x=2

Put this value in equation (1), we get

⇒2(2)+3y=13

⇒4+3y=13

⇒3y=9

⇒y=3

∴ the solution is x=2,y=3.

Quadrilateral ABCD has the following angle measures: m∠A = ?°, m∠B = 97°, m∠C = 47°, m∠D = 90° What is m∠A?

Answers

Answer:

m<A is 126 degrees

Step-by-step explanation:

Assuming that the whole entire quadrilateral is 360 degrees, I can say that part A is 126 degrees.

You have a $100 game card at Dave & Buster's. You know you want to play 2 rounds of ski-ball that costs $2 each and you also know you want to play Dance Dance Revolution three times which costs $2.50 each game. You will spend the remaining money on air hockey, which costs $1.75 per game. What's the maximum number of air hockey games you can play?

Answers

The maximum number of air hockey games that can be played out of the $100 game card at Dave & Buster's is 50.

How to find the maximum number of times to play the last game?

With a $100 game card, the maximum amount of times to play air hockey is found thus;

After 2 rounds of ski-ball at the cost of $2 per game = $4

After 3 rounds of Dance Dance Revolution at the cost of  $2.50 per game = $7.50

If air hockey costs $1.75 per game, then;

$4 + $7.50 = $11.50

$100 - $11.50 = $88.50

Therefore $88.50/$1.75 = 50.5 approximately 50 times.

It will take 50 times to use up the rest of the $88.50 left from the $100 game card if air hockey costs $1.75.

Learn more on arcade game cards here: https://brainly.com/question/20883405

#SPJ1

what is the y- intercept of y=-2/5x-5

Answers

Answer: I believe the y-intercept would be -5

Step-by-step explanation: If you recall, we find the slope using y=mx+b, with M being your slope and B being your y-intercept! I hope that was helpful!

Complete each problem and show your work Diameter: 12,756 km

Diameter: 12,756 km Radius: 15.25in Circumference: 7in Circumference: 25.92cm

C = C = D = R =
A = A = A = A =

Answers

The area of the circle would be 127731695.76 Km².

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the diameter of the circle.

The diameter is -

{d} = 12756 Km

We can write the radius as -

r = {d}/2 = 6378 Km

We can write the area as -

A = 3.14 x 6378 Km x 6378 Km

A = 127731695.76 Km²

Therefore, the area of the circle would be 127731695.76 Km².

To solve more questions on areas, visit the link below-

brainly.com/question/1041084

#SPJ1

oie Velasco: Attempt 1
Question 6 (1 point)
Increasing or Decreasing thermal Energy Causes Water to change States. (Lesso
1.02)
True
False
Question 7 (1 point)

Answers

Answer: It is True

Step-by-step explanation:

The increase in thermal energy allows molecules to decrease their density and escape the liquid state to become gas molecules.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

4

Step-by-step explanation:

As the picture shows, there are positives and negatives; adding a positive number with a negative number is the same as subtracting a positive from a positive.


So, 9 + (-5) would be the same as 9 - 5.


Hope I helped!

Find the coordinates of the point 3/10 of the way from A to B.

the coordinates of the point 3/10 of the way from A to B are---------------------.

Answers

The coordinates of the point on the line is (1/2, -27/10)

How to determine the coordinates of the point on the line?

From the question, we have the following parameters that can be used in our computation:

Point A is at (-4,-6) and point C is at (11,5).

Also, we have the ratio of AB to AC to be 3 : 7 i.e. 3/10

The partition involves dividing the line into subsegments

This means that

(x, y) = (-4,-6) and  (11,5).

m : n = 3 : 7

The coordinates of the partition are calculated as:

Point = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)

Substitute the known values in the above equation, so, we have the following representation

Point = 1/(3 + 7) * (3 * 11 + 7 * -4, 3 * 5 + 7 * -6)

Evaluate the products

So, we have the following representation

Point = 1/10* (5, -27)

Evaluate the quotients

Point = (1/2, -27/10)

Hence, the coordinate of the partition is (x,y) = (1/2, -27/10)

Read more about line partitions at:

brainly.com/question/12959377

#SPJ1

Other Questions
Using the buckets and circular flow figures, answer the following: figure 2.1: think about your household and describe whats in your buckets? Show twodifferent ways to find the answer to the problem below.Dog and cat food are sold in 20-pound bags. There are 14 bags of dog food and 12 bags of cat food on the store shelves. How many pounds of dog and cat food are on the shelves? Digital influences have largely replaced o a. advertising. b. word-of-mouth referrals from neighbors, coworkers, and friends. c. personal selling d. learning e. brick-and-mortar store sales. How do you influence the federal funds rate? what two orders did James Madison give when the British were nearing Washington dc I need help only have 2 hours left what is the total energy (in mev) released in the beta decay of a neutron? Cmo resolver esta factorizacion What geographic disadvantage did Russia have as an allied power on the eastern front Which narrative point of view is shown in the passage?The day I came of swimming age, which, to Mother's distress, Mamaji claimed was seven,he brought me down to the beach, spread his arms seaward and said, "This is my gift toyou." "And then he nearly drowned you," claimed mother. Case 20-4 Customized Software The FIRST rule of safe lifting is to: the table and the scatter plot the total earning y(in dollars) of a food server who works x hours What does capital appreciation refer to? Human Systems Intervention (HSI) is a multi-disciplinary approach to fostering human change in social situations. Key components of HIS include understanding how human adaptation and learning take place within social systems. HIS researchers and practitioners specialize in areas of expertise including development, leadership, education, human resources, and _____.Responsestriage simulationscommunity interventionspolitical ralliesreligious presentations What is a definition of imagery How can you reduce your total loan cost fafsa? What does an autotroph do? Delta Sigma Theta Jewels How does scarcity affect the price of a product or service?