Assume that the following data distributions follow a normal distribution. Trans

Question

Assume that the following data distributions follow a normal distribution. Translate problems into probability P(X) notation, then convert to P(Z). Show Z-score calculations. Shade area on the normal curve. Write table areas on arrows from left-side. Give solutions as 4 decimals, and then as percentage. Customers of the Tasty Pastry Shoppe spend an average of exist4.25 with a standard deviation of exist0.60. (a) Estimate the percentage of customers who spend more than exist5.00 at the Tasty Pastry Shoppe. (b) What is the probability that a customer spends more than exist5.00 at the Tasty Pastry Shoppe?

Explanation / Answer

p(z>5) = P(z>(x-mu/sigma))

            =p(z> 5-4.25/0.60)

             =1-P(z<1.25)

              =1-0.89435

              =0.10565

a) 10.565%

b)p=10.565

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