A pharmacist finds that 55% of allcustomers prefername brand prescription drugs to generic prescription drugs. Suppose a sample of 25 customers is selected. a.Is the sampling distribution of...

A pharmacist finds that 55% of allcustomers prefername brand prescription drugs to generic prescription drugs. Suppose a sample of 25 customers is selected. a.Is the sampling distribution of ?̂approximately normal? Justify your answer. b.Calculate the mean and standard deviation of the sampling distribution. Show calculations. c.Draw the sampling distribution. Include labeled?̂and z axes.d.Calculatethe probability that more than 60% of the 25 sampled customers prefername brand prescription drugs to generic prescription drugs. Include a z-score calculation and technology statement.