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Diano4ka-milaya [45]
3 years ago
14

An attendant at a car wash is paid according to the number of cars that pass through. Suppose the probabilities are 1/12, 1/12,

1/4, 1/4, 1/6, and 1/6, respectively, that the attendant receives $7, $9, $11, $13, $15, or $17 between 4:00 P.M . and 5:00 P.M . on any sunny Friday. Find the attendant’s expected earn- ings for this particular period.
Business
1 answer:
Paladinen [302]3 years ago
5 0

Answer: The attendant’s expected earn- ings for the period between 4:00 P.M and 5:00 P.M is <u>$12,67.</u>

Explanation: <u>The discrete random variable X</u> represent attendant’s earnings.

The expected value of the discrete random variable X is

<h2>= E (x) = ∑× f(x)</h2><h2>= 7 × 1/12 + 9 × 1/12 + 11 × 1/4 + 13 × 1/4 + 15 × 1/6 + 17 × 1/6 = <u>12,67.</u></h2><h2><u /></h2>
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1 year ago
Suppose that you have the option to lease a new car, which you otherwise intend to purchase for $21,000. The lease terms: $3000
slava [35]

Answer:

The amount that will be paid to buy the car is $18,539.43.

Explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of the present of the monthly payment

Since the payments are made at the beginning of each month, this can be calculated using the formula for calculating the present value (PV) of annuity due given as follows:

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Where;

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Step 2: Calculation of the present of the purchase amount at lease expiration

This can be calculated using the present value formula as follows:

PVP = P / (1 + r)^n  .................................. (2)

Where;

PVP = Present value of the purchase amount at lease expiration = ?

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Substitute the values into equation (2), we have:

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This can be calculated as follows:

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Where:

PVM = Present value monthly payments = $12,896.55

PVP = $5,642.88

Substitute the values into equation (3), we have:

Amount to pay to buy car = $12,896.55 + $5,642.88 = $18,539.43

Therefore, the amount that will be paid to buy the car is $18,539.43.

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Answer:

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