I need help with this question.

The diameter of a brand of ping-pong balls is approximately normally distributed, with a mean of 1.29 inches and a standard deviation of 0.04 inch. A random sample of 16 ping-pong balls is selected. Complete parts (a) through (d). a. What is the sampling distribution of the mean? O A. Because the population diameter of Ping-Pong balls is approximately normally distributed, the sampling distribution of samples of 16 will be the uniform distribution. O B. Because the population diameter of Ping-Pong balls is approximately normally distributed, the sampling distribution of samples of 16 will not be approximately normal. O C. Because the population diameter of Ping-Pong balls is approximately normally distributed, the sampling distribution of samples of 16 can not be found. O D. Because the population diameter of Ping-Pong balls is approximately normally distributed, the sampling distribution of samples of 16 will also be approximately normal. b. What is the probability that the sample mean is less than 1 27 inches? P(X