Airlines A and B each operate one flight per day between the cities of Hartford and Chicago; the daily passenger volume between the two cities is 350. Because the quality of service and departure times for both airlines are similar, we assume that passengersselect the flights with equal probability and independently of one another.

Required:
a. Let X denote the number of passengers on the flight operated by airline A. Describe the exact distribution of X; name it and identify the parameters.
b. If the plane for airline A carries 210 seats there is a positive probability that more than 210 passengers will turn up, in which case not all passengers can be accommodated. Estimate the probability of "overbooking"
c. Denote by n the minimum number of seats the aircraft should contain if it is desired that the probability of exceeding the seating capacity be less than 0.01. Find n

Answers

Answer 1

Answer:

X ~ (350, 0.5)

0.00009

Step-by-step explanation:

Given that:

Daily passenger volume = 350

Since both airlines A and B have equal probability ;

p = 0.5

n = 350

X ~ (n, p)

X ~ (350, 0.5)

B.)

Mean, m= np = 350 * 0.5 = 175

Standard deviation, s = sqrt(np(1-p)) = sqrt(350*0.5*0.5) = sqrt(87.5)

Obtaining standardized score, Z

Z = (x - m) / s

x = 210

Z = (210 - 175) / sqrt(87.5)

Z = 35 / sqrt(87.5)

Z = 3.74

P(Z > 3.74) = 0.00009 (Z probability calculator)


Related Questions

find the slope of the line that passes through the points ( -2,3) and (7,-4)

Answers

Answer:

Slope= -7/9

Step-by-step explanation:

Answer:

-7/9

Step-by-step explanation:

(-2, 3) ; (7 , -4)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]

         [tex]= \frac{-4-3}{7-[-2]}\\\\= \frac{-4-3}{7+2}\\\\= \frac{-7}{9}[/tex]

HELP ASAPPPP!!! HAUSBJANAHSJISIS

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1: 72
2: 32
3: 1/2

I think this is it

Is it possible for a triangle to have the three angle measurements 7cm, 24cm, 25cm and is it congruent or not?

Answers

Answer:

The Answer is yes to both of your questions.

Step-by-step explanation:

SSS (Side angle Side) = Because If 3 sides of triangle are congruent to 3 sides of another triangle, the triangles are congruent. SAS (Side angle side) = If 2 sides and the angle in between are congruent to the corresponding parts of another triangle, the triangles are congruent.

The Smith family made a 12-pound turkey for dinner. If each person will eat of a pound, how many
people will it take to finish the turkey?

Answers

it will take 12 people to finish the turkey

Answer:

Step-by-step explanation:

12 pound turkey

one person eats 1 lb

12 people will eat 12 lbs

A pack of pencils costs $1.25. The school secretary went to the store, bought some packs of pencils and spent $11.25. Which equation can be used to solve for how many pencils, p, she bought?

A. p+1.25=11.25

B. 11.25-p=1.25

C. 1.25p=11.25

D. 11.25p=1.25

Please answer quick

Answers

The answer is c because she the pencils cost 1.25 and the p represents the amount of pencils she bought so 1.25 multiplied by p (the number of pencils) gives you 11.25 :)

Factor using GCF.
Show your work!
1) 36a + 18b - 27c

Answers

match them then add

The box plots below show student grades on the most recent exam compared to overall grades in the class

which of the following best describes the information about the medians

1. the exam outlier at 60 makes the IQR narrower and the median higher
2. The class data is more evenly spread which pulls its medium down
3. The class median is lower than the exam median
4. The class Q3 is higher than the exam Q3​

Answers

Answer:

3. The class median is lower than the exam median

Step-by-step explanation:

The median of the box plot is indicated by the vertical line that divides the box.

Thus, the Class median grade is about 80, while the Exam median grade is more than 80.

Comparing grades, this means that the class median is lower. than the exam median.

Therefore, "the class median is lower than the exam median" is the right information that describes the median.

Answer:

C-  The class median is lower than the exam median

Step-by-step explanation:

i took test

The Cost is 3.60 for 1/2 a pound of Candy. What is the cost for 2 pounds?

Answers

$7.20

$3.60 times 2 is $7.20

Answer:

$14.40

Step-by-step explanation:

trust me

the sum of two consecutive even integers is 86. find the two integers

Answers

Answer:

42 and 44

Step-by-step explanation:

The answer is 43

Explanation: 43 + 43 = 86.

Both ^ are consecutive numbers.

f(x) = 3(3x + 4)
The inverse

Answers

Answer:

Step-by-step explanation:

find the inverse of the function y=9x+12

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables: y=9x+12 becomes x=9y+12.

Now, solve the equation x=9y+12 for y.

[tex]f^{-1}[/tex](x) = (x-12)/9

y=(x−12)/9

In a normally distributed data set with a mean of 24 and a standard deviation of 4.2, what percentage of the data would be between 19.8 and 28.2 and why

Answers

Answer:

By the Empirical Rule, 68% of the data would be between 19.8 and 28.2

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 24

Standard deviation = 4.2

What percentage of the data would be between 19.8 and 28.2

19.8 = 24 - 4.2

28.2 = 24 + 4.2

So within one standard deviation of the mean

By the Empirical Rule, 68% of the data would be between 19.8 and 28.2

write a word problem whose solution is $111

Answers

Answer:

Step-by-step explanation:

Word problem is a topic in mathematics that involves the interpretation of a given question with a mathematical expression so as to determine the value of the required variable.

Example: The price of a pencil is $10, and that of a ruler is $15.25. If Charles bought 5 pencils and 4 rulers, calculate the total amount of money spent.

price of a pencil = $10

price of a ruler = $15.25

Then,

cost of 5 pencils = $10 x 5

                            = $50

cost of 4 rulers = $15.25 x 4

                         = $61

Total amount of money spent by Charles = $50 + $61

                              = $111

The total amount of money spent by Charles is $111.

Two numbers differ by 5. The sum of their squares is 193. Find the numbers.

Answers

Answer:

Let one number be x and the other be (x-5)

Step-by-step explanation:

x^2+(x-5)^2=193

x^2+x^2-10x+25=193

2x^2-10x+25=193

Subtract 193 from both sides of the equation.

2x^2-10x-168=0

x=12 or x=-7

x-5=7 or x-5=-12

hi please help urgent question!!!
will give brainlist :>

Answers

Answer:

dont know sos

Step-by-step explanation:

Do you know this please

Answers

Answer: 159%

Step-by-step explanation: all of the first square is shaded, which is obviously 100%, 59 out of 100 is shaded in the second one which means it is 159%

Which graph represents y=x−2

Answers

Answer:

Graph D is correct

Step-by-step explanation:

hope it helps ^^

Answer:

graph d

Step-by-step explanation:

MARK BRAINLIEST (RELOAD AND CLICK THE CROWN)

How many lines of symmetry does this figure have?

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Answer:

1 line mark brainliest if satisfied

Step-by-step explanation:

helpppppppppppppppppppppp

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Answer:

45 feet

Step-by-step explanation:

which of the following statements is true about the solution of the system

Answers

I think there are infinite solutions
Plz lmk if it wrong

Yeah Its B :3

Step-by-step explanation:

I take the test on edgeunity.

What is the correct punctuation for I see a pretty rainbow​

Answers

Usually a period or an exclamation mark would work. Most likely, since the sentence is presenting excitement, the answer is “!”

PLEASE HELP MEEEEEEEEEEE

Answers

answer is C
sorry if im wrong but im sure its c

For each expression, write an equivalent expression by applying the distributive
property.
2. (x + 4)(2x - 1)

Answers

2x^2 + 7x - 4 , i hope this helps

The equivalent expressions are:

x² + 11x + 18

2x² + 7x - 4

x² - 10x + 25

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

(x + 2) (x + 9)

(x + 4) (2x - 1)

(x - 5)²

Now,

Applying the distributive property.

1)

(x + 2) (x + 9)

x² + 9x + 2x + 18

x² + 11x + 18

2)

(x + 4) (2x - 1)

2x² - x + 8x - 4

Combining the like terms.

2x² + 7x - 4

3)

(x - 5)²

(x - 5) (x - 5)

x² - 5x - 5x + 25

x² - 10x + 25

Thus,

The equivalent expressions are:

x² + 11x + 18

2x² + 7x - 4

x² - 10x + 25

Learn more about expressions here:

https://brainly.com/question/3118662

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Which equation has a slope of -6 and a y-intercept of 5

Answers

Answer:

Correct answer is B

Step-by-step explanation:

hope it helps ^^

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Answers

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What other materials do you think a chemical engineer would explore to find new ways of using them?
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Answers

Answer:

In this lesson, students explore the field of chemical engineering and identify the ... Students will explore how chemical engineering is like and different from the other engineering professions. ... dealing with the composition of substances and their properties and reactions ... What do you think a chemical engineer does?”

Step-by-step explanation:

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Answers

Distribute the
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Step-by-step explanation:

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Step-by-step explanation:

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Help plz make

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Step-by-step explanation:

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Answers

Answer:

its 3m+7+7c+4n

Step-by-step explanation:

Its really easy

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