Calculating Binomial Probabilities - Suppose you work for an airline and you are taking reservations for a flight on an aircraft that has 152 seats. You know, based on historical flights trends, that if you sell a single ticket there is a 91% chance that the person with the ticket will actually show up for the flight. You decide to try to make a little extra money by overbooking your flight and you sell 160 tickets hoping that not more than 152 people will actually show up for the flight (note: this is a common business practice! Click here to watch a video that explains why)
Explain how this scenario meets the four requirements in the definition of a Binomial Distribution.
Identify what n and p are in this example
Use technology (StatCrunch, Statdisk, or Excel) to calculate the probability that if you sell 160 tickets for your flight, more passengers will show up than there are seats available (again, the plane has 152 seats total). Post an image of your technology output using the Insert/Edit Image feature in Blackboard (no attachments!)
Based on this probability, do you think it is a wise business practice to oversell your flight in this manner? Explain.

Answers

Answer 1

The probability that if you sell 160 tickets for your flight, more passengers will show up than there are seats available is 0.02

How the scenario meet the requirements?

The scenario meets the following requirements

The value of n is fixed i.e. 160The outcome has two possible values i.e. seats available or notThe chance that a person shows up is the same for each outcome i.e. p = 91%Each observation is independent.

Identify n and p

The given parameters are:

n = 160

p = 0.91 i.e. 91%

x = 152

How to determine the probability?

The distribution is a binomial distribution, and it is calculated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n -x}[/tex]

The probability is represented as:

P(x > 152) = P(153) + ..... P(160)

Using a technology tool, we have:

P(x ≤ 152) = 0.02

Conclusion on the calculation

Probability values less than 0.25 are unlikely probabilities.

Because the probability value 0.02 is less than 0.25, then we can conclude that it is a wise business practice to oversell your flight in this manner.

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Calculating Binomial Probabilities - Suppose You Work For An Airline And You Are Taking Reservations

Related Questions

The area of rectangle is 60inc * h ^ 2 If its breadth is 5 inch, find the length of breadth in ft.​

Answers

Hey ! there

Answer:

Length of breadth in ft is 0.416 ft .

Step-by-step explanation:

In this question we are given area of rectangle that is 60 inches square and its breadth is 5 inch . We are asked to find the length of breadth in ft .

SOLUTION : -

For changing " in " into " ft " we need to divide the given inch value by 12. So Dividing 5 inches by 12 :

[tex] \quad \dashrightarrow \qquad \: \dfrac{5}{12} [/tex]

We get :

[tex]\quad \dashrightarrow \qquad \: \purple{\underline{\boxed{\frak{0.416 \: ft}}}} \quad \bigstar[/tex]

Henceforth , length of breadth in ft is 0.416 ft .

#Keep Learning

PLEASE HELP ME SOLVE THIS!!

Answers

Answer:

x = 18

Step-by-step explanation:

Let's find x :-

[tex] {x}^{2} - 11 + 3 = 180^{o} [/tex]

[tex] {x}^{2} - 8x = 180[/tex]

[tex] {x}^{2} = 8x - 180 = 0[/tex]

[tex](x - 18)(x + 10)[/tex]

[tex]x = 18[/tex]

PLEASE HELP its A Math Problem ! Is the following equation linear, quadratic, exponential or none of these? f(x)=3^x+2

None of these


Linear


Exponential


Quadratic

Answers

Answer:

Exponential

Step-by-step explanation:

As the equation involves raising a term to variable power, this equation can be considered exponential

Linear

Ex : x + 2, x + 3, 3x + 4

Quadratic

Ex : (x + 4)², 5x² + 7x + 3, 3x² + 2

Answer:

  (c)  Exponential

Step-by-step explanation:

The independent variable in the equation is in the exponent, so this is an exponential equation.

__

Additional comment

Linear and quadratic equations are specific cases of polynomial equations, which involve sums of powers of the variables. The highest power involved is the degree of the equation: 1 for linear, 2 for quadratic.

  f(x) = x +2 . . . . has x to degree 1, so is a linear equation

  f(x) = 3x^2 -5 . . . . has x to degree 2, so is a quadratic equation

  f(x) = √(x -6) . . . . is "none of these"

(This is another vocabulary question. Linear, quadratic, exponential, degree, term, polynomial, ... are all words with specific definitions related to algebraic functions.)

Type the correct answer, PLS HELP ASAP, I AM GIVING BRAINLIEST FOR THE CORRECT ANSWER!!!!

Answers

Answer:

x = 3

Step-by-step explanation:

3^3 = 4(3) + 15 = 27

What is the radius of a sphere with a volume of 32398cm3 cm
to the nearest tenth of a centimeter?

Answers

Answer:

The answer is 19.8cm to the nearest tenth

A family of 2 adults and 3 children went out to dinner. The total bill was $42. Each child's dinner cost $4. How much did each adult's dinner cost?​

Answers

Answer: Each adult’s meal costed $15

Step-by-step explanation:

This situation can be modeled by the following equation:

2a + 3c = 42, where a = the cost of an adult’s meal, and c = the cost of a child’s meal


Since we know from the problem that a child’s meal costs $4, we know c:

2a + 3(4) = 42


At this point, we can just solve the resulting equation for a:

2a + 3(4) = 42

= 2a + 12 = 42 (simplify 3(4))

= 2a = 30 (subtract 12 from both sides)

= a = 15 (divide both sides by 2)


So, the cost of each adult’s meal was $15.


A piece rate worker is paid _____.

Answers

Answer:

The answer is  on the quantity they produce per hour.

Step-by-step explanation:

If they produce more, they will be paid more, based on the rate per finished item

On the quantity they produce per hour.

Which results only in a horizontal compression of y = StartFraction 1 Over x EndFraction by a factor of 6? y = StartFraction 1 Over 6 x EndFraction y = negative StartFraction 1 Over 6 x EndFraction y = StartFraction 6 Over x EndFraction y = negative StartFraction 6 Over x EndFraction.

Answers

Using translation concepts, it is found that an horizontal compression of [tex]y = \frac{1}{x}[/tex] is found in the following function:

[tex]y = \frac{1}{6x}[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In a function, a horizontal compression is found when x in the domain is multiplied by a constant greater than 1, that is, g(x) = f(ax), a > 1.

Hence, for [tex]y = \frac{1}{x}[/tex], the pure horizontal compression is:

[tex]y = \frac{1}{6x}[/tex].

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Answer:

A is correct! y=1/6x

Step-by-step explanation:

PLEASE HELP ME FIGURE OUT THE QUALITY SIGN THAT GOES WITH THESE THREE PROBLEMS

Answers

Answer:

"=" and "<"

Step-by-step explanation:

|9| = |-9|

|9| and |-9| indicates the absolute value of 9 so we use equality sign

7.5 = 7.50

7.5 is equal to 7.50 adding zeros to the right side of an expression won't change its quantity

For example:

I say I have 7.5 dollars and my friend says he has 7 dollars and 50 cent

We have same amount of money.

-3.31 is smaller than -3.13 because it's further from point zero in number line so we use < for this expressions.


I need help with this question asap please

Answers

there is no mode in the given data set

Question 7 (1 point)
Using the Cylinder in the picture, find the Lateral Area, the Area of a Single Base, and the TOTAL Surface Area: (round to the nearest
hundredth)
7 cm
10 cm-
Lateral Area =
Single Base Area =
Surface Area =
Blank 1:
cm²
_cm²
cm²

Answers

Answer:

The lateral area is 439.82  I don't know the single base one and The surface area is 747.7

Step-by-step explanation:

if one angle of a triangle is 63 and the other two are 7x degrees and 6x degrees what is X worth

Answers

Answer:

    x = 9

Step-by-step explanation:

Sum of all angles of a triangle = 180

                63 + 7x + 6x  = 180

                  63  +  13x    =180

                             13x   = 180 - 63

                              13x  = 117

                                 x  = 117/13

x = 9

Answer:

X= 9

Step-by-step explanation:

The angles in a triangle all add up to 180°

Hence we can form this equation :

63 + 7x + 6x = 180°

Subtracting 63 from both sides:

7x + 6x = 117°

Adding together to find the total X:

13x = 117°

Finally, diving by 13 on both sides:

X = 9

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer:

15.9

Step-by-step explanation:

x^2 + 6^2 = 17^2

x squared + 36 = 289

                  -36     -36

x squared = 253

[tex]\sqrt{x}[/tex] = [tex]\sqrt{x}[/tex]253

x = 15.9

Answer:

18.0

Step-by-step explanation:

17^2+6^2= 289 + 36=325

The square root of 325 is 18.02 and when you round 18.02 to the nearest tenth it would give you an answer of 18.0.

If the volume of this rectangular prism is 385 cubic inches, what is the value of x?
(x - 2) in.
xin.
W + 4) in
X
inches

Answers

Answer:

x=7

Step-by-step explanation:

x(x-2) (x+4) =385

distribute the x and solve

The value of x is 8 in.

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

Length = x + 4

Width = x

Height = x - 2

The volume of the rectangular prism = 385 in³

The volume of the rectangular prism = length x width x height

Now,

length x width x height = 385

(x + 4) x (x - 2) = 385

(x + 4) (x² - 2x) = 385

x³ - 2x² + 4x² - 8x = 385

x³ + 2x² - 8x = 385

This is a cubic polynomial.

f(x) = x³ + 2x² - 8x - 385

f(x) = a³ + bx² + cx + d = 0

Using the calculator we get,

Roots:

x = -3.20181 + 5.96339 i (rejected)

x = -3.20181 - 5.96339 i (rejected)

x = 8.40362 = 8

Thus,

The value of x is 8 in.

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can I get help please​

Answers

Answer:

s=55°

Step-by-step explanation:

sum of angles of the inside pentagon is 540°

2s+2s+1s+130°+135° =540°

5s+265°=540°

5s=540°-265°

5s=275°

5s/5=275°/5

s=55°

How do I factor this polynomial?
(30x^3 + 15x^2 + 45x)

Answers

Answer:

Step-by-step explanation:

Answer: [tex]15x(2x^2+x+3)[/tex]

Step-by-step explanation:

[tex](30x^3 + 15x^2 + 45x)[/tex]

1. factor out 15x

[tex]15x(2x^2+x+3)[/tex]

please help me to answer

Answers

Answer:

7.92 cm²

Step-by-step explanation:

Area of Trapezium :

1/2 x (a + b) x h1/2 x (4.8 + 8.4) x 1.20.6 x 13.27.92 cm²

.A cylindrical tank full of water has a
diameter of 10 feet and a height of 14 feet.
If 250 cubic feet is drained from the tank,
how much water remains?

Answers

Answer:

849

Step-by-step explanation:

Mia is traveling in a car at a speed of 52.8 miles per hour. How many miles will she cover in 2 hours?

Answers

Answer:

52.8*2=105.6

Step-by-step explanation:

52 I'm per hour means in two hour she travels double times that is 105.6 miles per hour

Erin has four shirts (whites, blue, red, black) and two pairs of pants (black, blue). She randomly chooses a shirt and a pair of pants. what is the probability that they are the same color?

Answers

Answer:

25%

Step-by-step explanation:

What is the volume of the following rectangular prism????????

Answers

[tex]\bold{FULL SOLUTION:}[/tex]

Solve for x.

x =
30
27
33

Answers

Answer:

the answer is 27

Step-by-step explanation:

3x+9+90=180

3x+99=180

3x=180-99

x=81/3

x=27

Answer:

Step-by-step explanation:

3x + 9 + 90 = 180

3x + 99 = 180

3x = 81

x = 81/3

x = 27

3(27) + 9 = 81 + 9 = 90

please awnser quickly

Answers

Answer:

R' (- 1, 6 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

R (- 1, - 6 ) → R' (- 1, 6 )

Answer:

the answer should be (-1, -6) because remember when you are doing these kind of problems of pluging in the points in a coordinate plane remember the quadraunts  to help you know everything you need in case of future problems.

So back remember first is x and then y so when we analyze the point the x is -1 and the y is -6 so the point r represnts= (-1,-6)

so hopefully that is the correct answer and have a great day.

remember first is x and then y

Step-by-step explanation:

Find the least positive integer that has a remainder of 2 when you divide by 5, a
remainder of 5 when you divide by a 8, and a remainder of 8 when you divide by 11.

Answers

When  you divide 12 by 5, the remainder is 2. When you divide 37 by 8, the remainder is 5. When you divide 30 by 11, the remainder is 8.

What is a quotient?

The term quotient refers to the number that is obtained when you divide a number by another.

When  you divide 12 by 5, the remainder is 2. When you divide 37 by 8, the remainder is 5. When you divide 30 by 11, the remainder is 8.

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39 ft.². The length should be 10 feet more than its width. What should the dimensions of
the deck be?

Answers

Answer:

13 x 3 ft

Step-by-step explanation:

RECTANGULAR deck

L x W = 39 ft^2

(w+10)  x w = 39

w^2 + 10w - 39 = 0

(w-3)(w+13) = 0        w = 3    or  -13 (throw out)

w = 3    then l = 10 +3 = 13

Please help me answer these

Answers

Answer:

98

Step-by-step explanation:

b(c(3))

b(3(3)-2)

2(3(3)-2)^2

2(9-2)^2

2(7)^2

2(49)

98

A rectangular pyramid has a volume of 492 cubic yards. if the base has a length of 18 yards and a width of 4 yards, what is the height of the pyramid?

Answers

Answer:

h = 20.5 yards

Step-by-step explanation:

Volume of Rectangular Pyramid: lwh/3

492 = (18) * (4) (h) /3

Multiply 3 on both sides

1476 = (18) (4) (h)

1476 = 72h

Flip the equation.

72h = 1476

h = 41/2 or 20.5 yards

What is an estimate for the square root of 150? (Do not find the exact value) Show work

Answers

Answer:

Somewhere between 12 and 13, perhaps 12.25

Step-by-step explanation:

This is a (rather) simple explanation:

Look for 2 square numbers that are either side of 150

In this case, it is 144 and 169

The square root of 144 is 12 and the square root of 169 is 13

Therefore we can estimate that the square root of 150 is somewhere between 12 and 13.

As 150 is a lot closer to 144 to 169, I would estimate around 12.25 but you do not need an exact value :)

PLEASE ANSWER 50 POINTS+ BRAINLIEST
Discussion Topic
What do you know about statistics and data? What do you think a measure of center for a data set would be? What do you think a measure of variation for a data set would be?

Write an example of a situation for which you would like to analyze the statistics. Think of the types of graphs you are familiar with. Do you think the data from the situation you came up with would look good on one of the graphs?

Answers

Answer: What do you know about statistics and data?

data are individual pieces of factual information recorded and used for the purpose of analysis

What do you think a measure of center for a data set would be?

Median and IQR

What do you think a measure of variation for a data set would be?

The most common measures of variability are the range, the interquartile range (IQR), variance, and standard deviation.

Write an example of a situation for which you would like to analyze the statistics. Think of the types of graphs you are familiar with. Do you think the data from the situation you came up with would look good on one of the graphs?

If $535 is invested at an interest rate of 7% per year and is compounded continuously how much for the investment be worth in 15 years?

Answers

Answer:

some people an fly high until good bye

Step-by-step explanation:

Answer:

The final balance would be $1,528.84

Step-by-step explanation:

The final balance would be $1,528.84 and the total compound interest would be $993.84

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