The company claims that 52% (p = 0.52) of the Reese’s pieces are orange. One student took a sample of 30 and got 12 orange candies ( 40 . 0 ˆ  p ). Assume the company’s claim is true. 5. Let X = the number of orange candies in a sample of 30.

a. Calculate the mean and standard deviation of the sampling distribution of X.
b. Interpret the standard deviation in context.
c. What is the shape of the sampling distribution of X. Justify.
d. What is the probability that a sample of 30 Reese’s pieces would have 12 or less orange candies? Show work.