Each employee (on average) is equally productive, and each one's monthly sales are normally distributed with a mean of $127,000 and SD $24,000. What is the likelihood that at least two employees will have sales greater than $160,000 in a particular month?

Question

Violet Coleman

Business

24 September, 13:06

Each employee (on average) is equally productive, and each one's monthly sales are normally distributed with a mean of $127,000 and SD $24,000. What is the likelihood that at least two employees will have sales greater than $160,000 in a particular month?

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Answers (1)

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Pruitt · Answer 1

0,1706

Explanation:

mean = $127.000

SD = $ 24.000

P (X> $160.000) = P (Z> (X-MEAN) / SD) = P (Z> (127.000-164.000) / 24.000)

P (Z> - 1,375) = 1 - P (Z< 1,375) = 1 - 0,9147 = 0,0853 x 2 employees = 0,1706