In a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six boxes. Is it appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game five times wins exactly twice?
A) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/5.
B) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 2, r = 5, p = 1/6.
C) No. The five trials are independent, but have more than two outcomes.
D) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6.

Answers

Answer 1

Answer:

D) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6.

Step-by-step explanation:

The Number of boxes = 6

Box containing a prize = 1

Probability of success, p = box containing a price / number of boxes = 1 /6

Number of trials = 5

Probability of success on exactly 2 trials, r = 2

Hence,

P(r = 2) = nCr * p^r * (1-p)^(n-r)

n = 5 ; r = 2 ; p = 1/6

Using a binomial probability calculator :

P(r = 2) = 0.1608


Related Questions

MATRIX X IS SHOWN BELOW

Answers

Answer:

4

Step-by-step explanation: thast it

Answer: 40

Step-by-step explanation:

The population of a small town is growing at a rate of 5% per year. If the population right now is 22 000, What will the population be 10 years from now?

Answers

Answer:

35,836

Step-by-step explanation:

I had this question before and I believe this is correct.

Answer:

the population 35,836 in 10 years.

Step-by-step explanation:

The numbers representing the population in consecutive years create a geometrical sequence with:

a1 = 22,000

and

q = 1 + 0.5 = 1.05

We are asked to find the population after

10 years. This number is the eleventh term in the sequence, so we are looking for:

a11 = a1 ⋅ q^10 = 22, 000 ⋅ (1.05)^10

After substitution of given data we have:

a11 ≈ 35, 836

*Answer:* "After 10 years the population will be 35, 836."

if 8 times a number is increased by 3 the result is 19 more than 6 times this number find the number

Answers

Answer:

8

Step-by-step explanation:

let x be the number

8*x+3=6*x+19

8x+3=6x+19

rearrange

8x-6x=19-3

2x=16

x=16/2=8

check: 8*8+3=64+3=67

            6*8+19=48+19=67

(SAT PREP) Find the value of x, NEED ASAP WILL AWARD BRAINLIEST!

Answers

Answer:

Step-by-step explanation: add 15, 25 and 39

then subtract by 180

Answer:

101

Step-by-step explanation:

(There is a shorter way to solve this, is in the other answer omg sorry)

First we have to find the last angle of the smallest triangle.

The addition of all angles in a triangle is always 180º so that means:

39 + 25 + y = 180

y = 180 - 64

y = 116

Now that we know the value of that angle we can find the other angle (not x) and with it we can get the answer.

Because flat angles are 180º too

Then:

116 + z = 180

z = 180 - 116 = 64

Finally now we calculate the addition of all angles again to find x:

x + 15 + 64 = 180

x = 180 - 79

x = 101

Hope it was helpful ;)

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Vlewer's Age Group
Excellent
Good
Average
Poor
Marginal Total
16-25
52
113
42
12
7
26-35
33
97
50
5
9
36-45
58
12
28
34
132
46-55
25
17
22
12
76
56+
12
5
3
8
28
Marginal Total
180
126
70
70
446
Note: A rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked
the movie.
A movie producer conducted a survey after a preview screening of her new movie to find out how the film would be received by viewers from
different age groups. The table shows the numbers of viewers in different age groups who rated the film excellent, good, average, and poor.
%. Write your
Out of the total respondents, the percentage of respondents from the 46-55 age group who rated the film excellent is
answer up to two decimal places.
Reset
Next

Answers

It’s excellent and good and ever had and

Can someone solve this please

Answers

Question 47= 33 ounces
Question 48= 98 Fahrenheit
Question 49= 127 millimeters
Last question= 2 inches

a baby goraffe is about 6 1/2 feet tall at birth and grows about 1/2 foot per month for its first year. The function h=1/2m+61/2 represents the total height h of a baby giraffe for any number of months m within ita firat year. How much taller is the giraffe at the end of the month 11 than at the end of month 2​

Answers

Answer: 4 and 1/2 ft  (or 4.5 ft) taller.

Step-by-step explanation:

The function h(m) = (1/2)*m + (6 + 1/2) represents the height (on feet) of the giraffe as a function of the number of months, m.

We want to find the difference in the height between month 11 and month 2, then we need to find:

difference = h(11) - h(2)

We can directly calculate this:

difference = [ (1/2)*11 + (6 + 1/2)] - [(1/2)*2 + (6 + 1/2)]

difference = (1/2)*11 - (1/2)*2 = (1/2)*(11 - 2) = (1/2)*(9) = 9/2

And we can write 9 = 9 + 1, then:

difference = 9/2 = (8 + 1)/2 = 8/2 + 1/2 = 4 + 1/2

And this is in feet, then the girrafe is (4 and 1/2) ft taller on month 11 than on month 2.

The number of days, d, that it will take to build a house is given by

d= 720 divided by n

where n is the number of workers used each day.

Ali's company will take 40 days to build the house.

Hayley's company will take 30 days to build the house.

Hayley's company will have to use more workers each day than Ali's company.

How many more?

Answers

Answer:

6 more workers

Step-by-step explanation:

The relationship between days (d) and number of workers (n) is given by the equation;

d = 720 / n

Ali's company will take 40 days to build the house.

n = 720 / d

n = 720 / 40 = 18 workers

Hayley's company will take 30 days to build the house.

n = 720 / d

n = 720 / 30 = 24 workers

Hayley's company will have to use more workers each day than Ali's company.

How many more?

24 - 18 = 6 more workers

I have a question, do you think School is necessary during a pandemic? If so then explain why

Answers

Answer:

Step-by-step explanation: Honestly, I don't dislike school. With the rather boring state we're in, school is generally a passtime. But, It depends on your emotional health. Some kids have their parents or relatives getting infected, which takes a toll. And now, teachers barely let us skip for any reason, even if it's more emotional health. So, I would say yes and no.

12. x + y = 4
And the next question is
13. -7 x = y
Pls answer ASAP and explain why!! Thank you!!

Answers

Answer:

[tex]x = - \frac{2}{3} \: \: \: y = \frac{14}{3} [/tex]

Step-by-step explanation:

Since we know -7x=y we use the substitution method and plug it in the top equation.

[tex]x + - 7x = 4[/tex]

[tex] - 6x = 4[/tex]

[tex]x = - \frac{4}{6} [/tex]

or x=-2/3

Then plug it back in the the bottom equation

[tex] - 7( \frac { - 2}{3} ) = y[/tex]

y=14/3

This question is worth 2 points! Allison makes and sells beaded necklaces. She charges a flat fee of $5 per necklace, and $1.50 per bead that she adds. If Jennifer, who wants to purchase a necklace, has $34 to spend, how many beads can she add to her necklace? Explain the process you used to solve, and tell what your answer is.

Answers

Answer:

19 beads

Step-by-step explanation:

If Jennifer has 34$ she automatically loses 5$ because that's the fee for the necklace. So, you subtract 34 from 5 and you get 29. After that you divide 29 by 1.50 and you get 19.333333. But, since you can't get 1/3 of a bead Jennifer can only buy 19 beads.

Which is the measure of
A) 93* B)113* C)138* D)180*

Answers

Answer:

A) 93 degrees

Step-by-step explanation:

a is supplementary to 93 degrees so A=180-87=93

Answer:

<A+87=180(linear pair)

<A=180-87=93°

is required value of <A

what is the angle of elevation (in degrees) to the nearest degree to the top of a 40ft building 90 ft away ​

Answers

Answer: 24°

Step-by-step explanation:

You have the opposite, the height of the building and the adjacent, the distance from the base of the building. Opposite and adjacent mean you have to use tangent. SOHCAHTOA

Take the inverse tangent on both sides

tan(Ф) = 40/90

Ф = 24°

1. Maya had a dozen white eggs
and a dozen brown eggs in her
refrigerator. She used 6 white
eggs and 8 brown eggs to make
breakfast. How many eggs does
she have left?

Answers

Answer:

6 white & 4 brown

Step-by-step explanation:

12-6=6

12-8=4

The results of a linear regression are shown below.
y = ax + b
a=-1.15785
b = 139.3171772
r= -0.896557832
r2 = 0.8038159461
Which phrase best describes the relationship
between x and y?
1) strong negative correlation
2) strong positive correlation
3) weak negative correlation
4) weak positive correlation

Answers

Answer:

2 hopefully this helps you with work

The best describes the relationship between x and y will be;

⇒ Strong negative correlation.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The results of a linear regression are shown below,

⇒ y = ax + b

⇒ a = -1.15785

⇒ b = 139.3171772

⇒ r = -0.896557832

⇒ r₂ = 0.8038159461

Now,

With the value of r we have both the information about the sign of the relationship and the strength of this relationship.

⇒ As the value of r is negative, we can conclude that the correlation between x and y is negative.

Also, as the absolute value of r is close to 1, we can conclude that this relationship is strong.

And, The strength can also be seen in the value of r2, which is also close to 1, but this value does not give information about the sign.

Thus, The value of the slope a, being negative, can also tell us that the relation between x and y is a negative correlation.

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need help like every time :{

Answers

Answer:

I need free points but all ik is the -4 needs to be divided by 4 then u have 5g+14=5g/-1

Step-by-step explanation:

step 1: multiply both sides:
20g + 56 = 5g - 4
step 2: move the terms
20g - 5g = -4 -56
step 3: collect like terms and calculate
15g = -60
step 4: divide both sides
g = -4
a good app for help with solving equations is photomath! it shows you the solving steps, hope this helps!

x: x is a positive counting number less 25}

Answers

Answer:

As the givens set A contains 24 elements.

Therefore,

The Cardinality of the set A = 24

Step-by-step explanation:

Let the given set is A

A = {x: x is a positive counting number less 25}

The set of natural numbers is often termed as the Counting number set.

As the counting numbers are less than 25.

Thus,

Set A will be:

[tex]A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}[/tex]

 

The Cardinality of the set

The Cardinality of the set represents the total number of elements in a given set.

As the givens set A contains 24 elements.

Therefore,

The Cardinality of the set A = 24

In 2071 the monthly salary of the Chief justice of
Nepal was Rs. 53580. If 1 % tax was levied on firs
Rs. 300000 and certain rate on remaining so that the
chief justice paid Rs. 4537 monthly tax. How much
was the tax percentage on remaining? (Ans: 15%)​

Answers

Answer:

Step-by-step explanation:

There must be an error—or multiple errors—in the question. Rs 300,000 doesn't make sense, because that would mean he was due a tax refund.

Rs 30,000 doesn't work, either, because that would  mean he was paying 18% tax, not 15%.

If a 1% tax was levied on the first Rs 25,000, then he would pay Rs 4,287 on on the remaining Rs 28,580, which would work out to 15%.

-4x-2y=-12
solve the system of equations

Answers

um there needs to be another equation

1 2/3 - 3/5 as fraction

Answers

Answer:

1  1/15 or 16/15

Step-by-step explanation:

Find the common denominator.

25/15 - 9/15 = 16/15

Have a nice day!!

Hope this helps!!

find the sample standard deviation

Answers

Answer:

Step 1: Calculate the mean of the data—this is xˉx, with, \bar, on top in the formula.

Step 2: Subtract the mean from each data point. ...

Step 3: Square each deviation to make it positive.

Step 4: Add the squared deviations together.

Step 5: Divide the sum by one less than the number of data points in the sample.

Step-by-step explanation:

Someone please help!! asap!!

Answers

Answer:

14.308-665544906576543214990

Mary Chapman had been working at First Savings for 18 years when she
became permanently disabled and could not continue to work. She was 50 years
old and had planned to retire in 12 years. Her final average salary was $34,500.
First Savings' rate of benefits is 2%. What is Chapman's monthly disability
benefit?

Answers

Answer:

17250

Step-by-step explanation:

Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. 3 • Parking lot: 3/4 mile • Summit: 1 1/2 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: “The total hike is three times as long as what we have already gone." a) Can they all be correct?​

Answers

Answer:

Yes they can

Step-by-step explanation:

                         .

Tyler's statements are consistent with the given distances.

To determine if Mai, Clare, and Tyler can all be correct, we need to evaluate the statements they made in relation to the given distances.

Statement 1: Mai says, "We are one third of the way there."

The distance from the parking lot to the summit is 1 1/2 miles. If they are one third of the way there, the distance they have already traveled would be 1/3 * 1 1/2 miles = 1/3 * 3/2 miles = 1/2 mile. However, the given distance from the parking lot is 3/4 mile, which is greater than 1/2 mile. Therefore, Mai's statement cannot be correct.

Statement 2: Clare says, "We have to go twice as far as we have already gone."

If they have already gone a distance of x, then according to Clare's statement, they have to go a distance of 2x. This statement does not contradict the given distances, so it could be true.

Statement 3: Tyler says, "The total hike is three times as long as what we have already gone."

If they have already gone a distance of x, then according to Tyler's statement, the total hike would be 3x. This statement also does not contradict the given distances, so it could be true.

Based on the analysis, only Mai's statement cannot be correct. Clare and Tyler's statements are consistent with the given distances.

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If a rectangular prism has a width of 5, a height of 4, and a length of 9, what is the volume of this prism if it was dilated by a scale 1/2?

Answers

Answer:

90

Step-by-step explanation:

5x4x9=180

180x.5=90

hope this is what you were looking for!

the cost of an airplane flight increases from $250 to $295.
what is the percentage increase?

Answers

The answer to your question is 18% increase

Find the value of x and y.
20
X
12
у
X =
y =

Answers

Answer:

Step-by-step explanation:

Therefore: The slope is: m=1. The y -intercept is: b=12 or (0,12)

(SAT PREP) FIND THE VALUE OF X PLEASE ASAP AWARDING BRAINLIEST!!

Answers

Answer:

116

Step-by-step explanation:

x=180-(25+39+15)=116degrees

Answer:

116 is the correct answer to this question

Dawn is playing a word game. The scores for her first nine words are:
14, 23, 9, 15, 17, 22, 24, 17, 21
Which best describes her scores?

Answers

Answer:

The minimum is 9 the maximum is 24 and the range is 9

Step-by-step explanation:

The minimum is 9 and the maximum is 24 and the range is 15

What is the range of a set of observations?

The difference between the highest and lowest values in the observation is known as the range of the observation.

Given here: 14, 23, 9, 15, 17, 22, 24, 17, 21

Clearly max. value =24 and min. value=9

∴ Range= 24-9

              =15

Hence, The minimum is 9 and the maximum is 24 and the range is 15

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Rudy correctly solved the equation 10 = 4r.
Which statement describes his solution?
A
The solution is 40 since 10 times 4 equals 40.
The solution is 2.5 since 4 times 2.5 equals 10.
С
The solution is 2.5 since 4 divided by 2.5 equals 10.
D
There is no solution because no value can be multiplied by 4 to get 10.

Answers

Answer:

its B

Step-by-step explanation:

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