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In: Statistics and Probability

An attendant at a car wash is paid according to the number of cars that pass...

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.

a) What is the probability that the attendant receives more than 15 dollars in this period?

b) What is the probability that attendant receives less than 10 dollars in this period?

c) Find the attendant’s expected earnings for this particular period.

d) Find the attendant’s variance of earnings for this particular period

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