Given a normal distribution with p. = 101 and a = 20, and given you select a sample of n = 16, complete parts (a) through (d). a. What is the probability that )_( is less than 93? P()_( ' 50.4) = (Type an integer or decimal rounded to four decimal places as needed.) The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.54 inches and a standard deviation of 0.05 inch. Arandom sample of 12 tennis balls is selected. Complete parts (a) through (d) below. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will also be approximately normal. a. What is the sampling distribution of the mean? If Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will not be approximately normal. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 cannot be found. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will be the uniform distribution. b. What is the probability that the sample mean is less than 2.52 inches? P()_(