A small regional carrier accepted 22 reservations for a particular flight with 20 seats. 14 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 42% chance, independently of each other.
a. Find the probability that overbooking occurs.
b. Find the probability that the flight has empty seats.

Answers

Answer 1

The probabilities for each case are:

a) P = 0.012b) P = 0.937

How to get the probability?

There are 8 reservations for passengers that may go or not, such that the probability of arriving to the flight is P = 0.42, and the probability of not arriving is Q = 0.58

a) There will be overbooking if 7 or more passengers go to the flight, the probability that the 8 attend is:

P(8) = (0.42)^8

The probability that 7 attend is:

P(7) = 8*(0.42)^7*(0.58)

(where the factor 8 is because there are 8 permutations)

The total probability is:

P = P(8) + P(7) = 0.012

b) Will be empty seats if less than 6 people go.

The probability that exactly 6 of these people go to the flight is:

P(6) = (28)*(0.42)^6*(0.58)^2

Where there are 28 permutations, that is why we used that factor.

Then, the probability of having empty seats is:

P = 1 - P(6) - P(7) - P(8) = 0.937

If you want to learn more about probability, you can read:

https://brainly.com/question/251701


Related Questions

What is the distance between the points (-6.5) and (8,-2) on a coordinate plane?

Answers

Answer:

5√7 or 15.652

Step-by-step explanation:

is the numbers (-6,5) (8-2) or is it (-6.5) because of it's -6.5 i do not understand how to get that answer (-6,5) the answer is 5√7

Do 1 to 6 pls ……..lol helppppppp

Answers

Answer:

2100046656116384625

Step-by-step explanation:

Hope it helps!!!

16 is what percent
of 20?

Answers

Answer:

80%

Step-by-step explanation:

Answer:

The answer is 1=5% so 5 × 16 = 80

Which hyperbola has one focus point in common with the hyperbola (y+11)^2/(15^2)-(x-7)^2/(8^2)=1

Answers

Answer:

3 &4

Step-by-step explanation:

The hyperbola with one focus point in common with the given hyperbola is:

[(y + 11)² / 10²] - [(x - 7)² / 15²] = 1

Which hyperbola has one focus point in common with the given hyperbola?

To find a hyperbola that shares one focus point with the given hyperbola, we need to find another hyperbola with the same focus point but different characteristics (e.g., eccentricity or axis length).

The equation of the given hyperbola is:

[(y + 11)² / 15²] - [(x - 7)² / 8²] = 1

The general equation of a hyperbola with its center at (h, k) is:

[(y - k)² / a²] - [(x - h)² / b²] = 1

The center (h, k) of the given hyperbola is (7, -11).

To share one focus point, we need to keep the center at (7, -11) but change the values of a and b. The eccentricity of a hyperbola is defined as e = c / a, where c is the distance from the center to the focus.

Let's assume the new hyperbola has an eccentricity different from the given hyperbola. We'll keep the same value of c and change the value of a to get a different eccentricity.

Let's say the new hyperbola has a value of a' = 10. Since the eccentricity is different, the value of b' will change accordingly. Let's calculate b' using the eccentricity formula:

e = c / a'

15 / 10 = 1.5

Now, we can find b' using the eccentricity:

e = c / a' = c / 10

c = e * a' = 1.5 * 10 = 15

Now, we have the center (7, -11), the value of a' = 10, and the value of c = 15. The equation of the new hyperbola with one focus point in common is:

[(y + 11)² / 10²] - [(x - 7)² / 15²] = 1

Learn more on hyperbola here;

https://brainly.com/question/15935373

#SPJ2

Please help me :c
I'll mark you Brainiest
Jackson went into a movie theater and bought 8 bags of popcorn and 2 candies, costing a total of $58. Cooper went into the same movie theater and bought 4 bags of popcorn and 5 candies, costing a total of $49. Write a system of equations that could be used to determine the price of each bag of popcorn and the price of each candy. Define the variables that you use to write the system.

Answers

Answer:

Jackson: 8p + 2c = 58

Cooper: 4p + 5c = 49

Step-by-step explanation:

p= popcorn

c= candies

When you write this equation, have the cost on one side of the equation and the coefficients on the other.

ny
If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for
which flx) = g(x) is true.
x=

Answers

Answer:

-3x + 4 = 2

just find x

Step-by-step explanation:

x = ⅔

f(x) = g(x)
-3x + 4 = 2
-3x = 2 - 4
-3x = -2
3x = 2
x = 2/3

What is a) b) and c)

Answers

1)=4 ,2)=5, 3)8
is the answer

Which of the following properties are true for rigid transformations?
i. Increases or decreases the size of the figure
ii. Moves the location of the figure.
iii. Changes the shape of the figure
O ii only
O i and ii
O ii and in
O i, ii, and in

Answers

Answer:

The first choice is correct. ii only.

Step-by-step explanation:

A rigid transformation changes the location of the shape without changing its size. There are three basic rigid transformations: reflections, rotations, and translations.

We are given these properties:

i. Increases or decreases the size of the figure

ii. Moves the location of the figure.

iii. Changes the shape of the figure.

Let's analyze each choice below:

O ii only . This is true. The other two properties are non-rigid transformations. Correct

O i and ii . This is not true. Increasing or decreasing the size of the figure is a non-rigid transformation. Incorrect.

O ii and iii. Changing the shape of the figure is a non-rigid transformation. Incorrect.

O i, ii, and iii. Properties i and iii are non-rigid transformation. Incorrect.

PLEASE HELP! I WILL MAKE YOU BRAINLIST!

Answers

Answer:

B.

Step-by-step explanation:

3.7 × 30 = 111

then round down to 110

Find the slope of the line through each pair of points (-12,-11),(13,-6)

Answers

5/25 or 1/5

Can u mark me brainliest

I need help. I don't know how to solve this

Answers

Answer:

30

Step-by-step explanation:

So you do 4 x 2 for the top square, 2 x 6 for the middle square, and 6 x 2 for the bottom square and then add it all up. Hope this helps!

what is the m∠q ?????????????????????? help i taking a test and imma get beat if i fail

Answers

Answer:

Unlike the previous problem, this one requires application of the Law of Cosines.  You want to find angle Q when you know the lengths of all 3 sides of the triangle.

Law of Cosines:  a^2 = b^2 + c^2 - 2bc cos A

Applying that here:

                          40^2 = 32^2 + 64^2 - 2(32)(64)cos Q

Do the math.  Solve for cos Q, and then find Q in degrees and Q in radians.

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

this is an isosceles triangle, which mean that PRQ and PQR are equal.

all sides of a triangle equal 180.

using this, you can make the following equation:

x + (2x + 15) + (2x + 15) = 180

combine like terms

5x + 30 = 180

subtract 30 from both sides

5x = 150

divide both sides by 5

x = 30

What is y-1=-2(x-2) in slope intercept form

Answers

Answer:

y=−2x+5

Step-by-step explanation:

y=mx+b

thanks to all the people who helped me

Answers

Answer:

i think it is b i am not sure

Step-by-step explanation:

A toy store had 27,436 customers last week. Which digit is in the thousands place in 27,436?
A.2
B.3
C.4
D.7

Answers

Answer:

Your answer is 7 so it's D

Step-by-step explanation:

which set of angle measures CANNOT be the angle measures of a triangle
A. 65°,65°,50°
B. 54.3°, 47.5°,78.2°
C. 22.5°, 36.4°,110.1°
D. 40°,40°,100°

Answers

Answer:

C cannot make a triangle

Step-by-step explanation:

One of these choices does not have 3 angles adding to 180.

A) adds to 180 degrees

B) B also adds to 180 degrees.

C) Adds to 169 degrees, so this set of 3 does not make a triangle.

D) Adds to 180

Need the second equation for this to graph
I already have y=-3/5+12
Alexandra is going to a
carnival that has games
and rides. Each game costs $3 and
each ride costs $4.50. Alexandra spent $54 altogether at the carnival and the number
of rides she went on is 7 more than the number of games she played. Graphically
solve a system of equations in order to determine the number of games Alexandr VCR be a
played, x, and the number of rides Alexandra went on, y.

Answers

Answer:

-2,-4=12 That is the answer of that question

Duing his leg, musher Charlie Olson’s sled overturned. He got frostbite trying to get his sled and the vials back together. Frostbite occurs when skin is exposed to temperatures -15ºF or lower for too long. At that point in the race, the windchill temperature was 55º colder than the warmest temperature at which frostbite occurs. What was the windchill temperature?

Answers

Windchill temperature = -15 + -55
= - 70 °F

how to i find the definition of a congruent angle

Answers

Answer:

Angles are congruent if they have the same angle measure in degrees. Try this Adjust any angle below by dragging an orange dot at its ends. The other angle will change to remain congruent with it. Angles are congruent if they have the same angle measure in degrees.

Step-by-step explanation:

Hope this helps!

Answer:

The definition of a congruent angle, is a shape which all angles are equal and the same as each other. A square has a congruent angle, because all the angles are 90 degrees.

Step-by-step explanation:

Didn't really understand what you meant, but I hope this helps you understand it better! <3

What is the value of x in the equation 2x – 3 = 9- 4x?
1) 6
2) -3
3) 1
4) 2

Answers

Answer: 2

Step-by-step explanation:

Which would be a correct step when evaluating this equation?

-6-(-16)=

Answers

Answer:

 10

Step-by-step explanation:

[tex]\mathrm{Apply\:rule}:\quad \:a-\left(-b\right)=a+b[/tex]

[tex]-6-\left(-16\right)=-6+16[/tex]

[tex]=-6+16[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:-6+16=10[/tex]

Hence, Answer = 10

~Lenvy

June is driving for brookline massachusetts, to brooklyn,new york. the cities are 200 miles apart. pretend June lives in a world in which she encounters no traffic jams and can drive at a constant speed of 50 mph the entire way. consider the following function. the distance June has traveled , c, is a function of her driving time t. what is the range of the function?

Answers

The range of the function c = 50t + 200 is given by [200, ∞).

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

Let c represent the distance travelled in t hours, hence:

c = 50t + 200

The range of the function c = 50t + 200 is given by [200, ∞).

Find out more on linear equation at: https://brainly.com/question/12788590

Choose the integer that best describes the following phrase: Owing $200 on a credit card

Answers

Answer:

x> -200

Step-by-step explanation:

A furniture store purchased a sofa for $400. The store set the retail price at a 50% markup. When Karen purchases the sofa, she must also pay an 8% tax. How much does Karen pay for the sofa, including sales tax?

Answers

Answer:

$648.

Step-by-step explanation:

$400+50% = $600

$600+8%=$648

One pack of sliced cheese weighs 350 grams. How many packages would you need tobuy to have at least 1 kilogram of cheese?

Answers

Answer:

3

Step-by-step explanation:

Divide 1kg or 1000g by 350 and round up to the next integer. That's it.

Answer:

3 packages

Step-by-step explanation:

350+350=700

700+350=1100

1000 grams=1 kilograms

I need help !!!!
Gene says that -2 1/8 is less than -2.25 is he correct explain your answer !

Answers

Gene is incorrect because if you convert -2 1/8 into a decimal, it is - 2.125. And - 2.125 is greater then - 2.25.

Helpppp ASAPS i need your help i give brainlist to the correct answer​​ only 2 and 3​

Answers

Answer:

see

Step-by-step explanation:

1.

AD²+BD²=AB²

AD²+12²=15²

AD²+144=225

AD²=225-144

AD²=81

AD=√81

AD=9

2.

AC=AD+DC

AC=9+16

AC=25

3. I don't know what's the answer here.

Please give me brainlist.

The following histogram represents the number of hours students practice each week for the band.
How many hours did most students practice?

a. 7-8
b. 1-2
c. 3-4
d. 5-6
Best answer gets brainliest!

Answers

Answer:

D

Step-by-step explanation:

frequency is the students and most of them (10) study 5-6 hours ♡

ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!!

Answers

Answer:

a) angle CAR =angle BAR

Im so sorry if im wrong


pls help! who ever solves first will be awarded brainiest!!! solve asap!

Answers

Answer:

[ ] = 3¹³

Step-by-step explanation:

3¹⁷ - 3¹⁵ + 3¹³ = [ ] x 73

3¹³ [3⁴ - 3² + 1] = [ ] x 73

3¹³ [81 - 9 + 1] = [ ] x 73

3¹³ x 73 = [ ] x 73

[ ] = 3¹³ [It says 3^13 if it is not clear/visible]

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