Can you please help me answer this with all of the work being shown?

The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2 55 inches and a standard deviation of 0 04 Inch. A random sample of 10 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 10 cannot be found O B. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 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 10 will also be approximately normal. O D. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 will not be approximately normal. b. What is the probability that the sample mean is less than 2.54 inches? P(X