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seropon [69]
3 years ago
15

A shuttle operator has sold 20 tickets to ride the shuttle. All passengers (ticket holder) are independent of each other, and th

e probability that a passenger is part of the frequent rider club is 0.65 (65% chance they are part of the group and 35% chance they are not). Say X is the number of passengers out of the 20 that are part of the frequent rider club. a. Was type of distribution does X follow? Write the probability mass function (f(x)), and name b. What is the expected number of passengers that are part of the frequent rider club. Interpret c. Say each passenger is charged $3.00 for their tickets. What is the expected revenue? What is its parameters this value for the shuttle operator (in a sentence or two). the variance of the revenue? d. Now say each passenger in the frequent rider club are charged $2.00 for their tickets and the regular passengers (not in the frequent rider club) are charged S4.50 for their tickets. What is the expected revenue?
Mathematics
1 answer:
Rashid [163]3 years ago
4 0

Answer:

a. Discrete probability distribution, frequent rider club, 0.65 of 20

b. 13

c. $60

d. $57.50

Step-by-step explanation:

a. X follows a discrete probability distribution because it involves discrete random variables which have probability mass function and frequency.

f(x) =0.65 of 20 passengers

b. if 0.65 0f 20 passengers are frequent riders,

then, the frequent riders will be 13 passengers

c. expected revenue will be $3 *20 passengers which will be $60.

the total number of passengers given tickets is 20 and the price for each is $3. thus, making the parameters to be price and number of passengers.

d. if the frequent riders are charged $2, then the amount paid by this group will be $2*13 which is $26

and if $4.50 is paid by the regular passengers it will be $4.50*(20-13) which is $31.50.

therefore, expected revenue will be $26+$31.50 equals $57.50

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Answer:

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Step-by-step explanation:

One way to solve this would be to solve for 1% of the company's employees and use that value to solve for 100% (100%=the whole part, or the total). We know that

28300 = 34.1%

If we divide a number by itself, it turns into 1. Dividing both sides by 34.1, we get

829.912 = 1%

Then, we know that anything multiplied by 1 is equal to itself. We want to figure out 100%, or the whole part, so we can multiply both sides by 100 to get

100% = 82991

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ExtremeBDS [4]
Can you translate so i can help you out .
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3 years ago
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kari74 [83]

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Step-by-step explanation:


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Read 2 more answers
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chubhunter [2.5K]
1.

Make the fractions improper.

72/12 x 19/6 = 19.


2. 

Area = L x W

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2 years ago
Find the constant of proportionality k. Then write an equation for the relationship between x and y
ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}

Answer:

(a) k = 5

(b) y = 5x

Step-by-step explanation:

Given

\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

(x_1,y_1) = (2,10)

(x_2,y_2) = (6,30)

The constant of proportionality k is:

k = \frac{y_2 - y_1}{x_2 - x_1}

k = \frac{30-10}{6-2}

k = \frac{20}{4}

k = 5

Solving (b): The equation

In (a), we have:

(x_1,y_1) = (2,10)

k can also be expressed as:

k = \frac{y- y_1}{x- x_1}

Substitute values for x1, y1 and k

5 = \frac{y- 10}{x- 2}

Cross multiply:

y - 10 = 5(x - 2)

Open bracket

y - 10 = 5x - 10

Add 10 to both sides

y - 10 +10= 5x - 10+10

y = 5x

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