answer in detail

The diameter of a brand of tennis halls is approximately normally distributed with a mean of 2.62 inches and a standard deviation of 0.05 inch. A random sample of 12 tennis balls is selected. Complete parts (a) through (d) below. a. What is the sampling distribution of the mean? O A. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will not be approximately normal. O B. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will be the uniform distribution. O C. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 cannot be found. O D. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 17 will also be approximately normal b. What is the probability that the sample mean is less than 2.61 inchos? P(X