2.) A random variable is normally distributed. It has a mean of 245 and a standard devi 21. a.) If you take a sample of size 10, can you say what the shape of the distribution for the mean is? Why? b.) For a sample of size 10, state the mean of the sample mean and the standard deviati sample mean. c.) For a sample of size 10, find the probability that the sample mean is more than 421. d.) If you take a sample of size 35, can you say what the distribution of the sample mee Why? e.) For a sample of size 35, state the mean of the sample mean and the standard deviati sample mean. f.) For a sample of size 35, find the probability that the sample mean is more than 421. g.) Compare your answers in part c and e. Why is one smaller than the other