2 5 A random sample is drawn from a population with mean u: 51 and standard deviation 0= 43' [You may find it useful to reference the 2 table.] a. Is the sampling distribution of the sample mean with n =12 and H: 38 normally distributed? 3 points 0 Yes, both the sample means will have a normal distribution. 0 No, both the sample means will not have a normal distribution. B R O No, only the sample mean with n= 12 will have a normal distribution. e 00 O No, only the sample mean with n= 38 will have a normal distribution. Hint Prim b. Calculate the probability that the sample mean falls between 51 and 53 for n = 38. (Round intermediate calculations to at least 4 References decimal places, \"2\" value to 2 decimal places, and final answer to 4 decimal places.) Probability _