A purveyor of designer maternity wear sells dresses and pant

A purveyor of designer maternity wear sells dresses and pants priced at $250 each for an average total sale of $1,600. The total sale has a normal distribution with a standard deviation of $500.

A.) Calculate the probability that a randomly selected customer will have a total sale of more than $2,000.

B.) Determine the median total sale.

Solution

A.) Calculate the probability that a randomly selected customer will have a total sale of more than $2,000.

P(X>2000) = P((X-mean)/s >(2000-1600)/500)

=P(Z>0.8) =0.2119 (from standard normal table)

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B.) Determine the median total sale.

median= mean = 1600