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.

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Georgina

Business

24 April, 03:03

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.

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Aaron Charles · Answer 1

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

Explanation: The discrete random variable X represent attendant's earnings.

The expected value of the discrete random variable X is

= E (x) = ∑ * f (x) = 7 * 1/12 + 9 * 1/12 + 11 * 1/4 + 13 * 1/4 + 15 * 1/6 + 17 * 1/6 = 12,67.