Please answer all 4 questions (A-D).

17. A population has a mean of u - 30 and a standard deviation of o = 8. a. If the population distribution is normal, what is the probability of obtaining a sample mean greater than M - 32 for a sample of n - 4? b. If the population distribution is positively skewed. what is the probability of obtaining a sample mean greater than M - 32 for a sample of / - 4? c. If the population distribution is normal, what is the probability of obtaining a sample mean greater than M - 32 for a sample of n - 64? d. If the population distribution is positively skewed. what is the probability of obtaining a sample mean greater than M - 32 for a sample of z - 64