Question

Answer the ransin sports company has noted that the size of individual customer orders is normally distributed with a mean of $102 and a standard deviation of $8. if a basketball team of 5 players were to make the next batch of orders, what is the probability that the mean purchase would exceed $104?

Answer 1

We can only assume that the order amounts are uncorrelated.
.. normalcdf(104, 150, 102, 8/√(5)) = .288075061

The probability is about 28.8%.

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source: TI-83/84 calculator