Given a normally distributed population, a sampling distribution is summarized by u= 50, n-100, and o=15. What is the probability that a simple

Given a normally distributed population, a sampling distribution is summarized by u= 50, n-100, and o=15. What is the probability that a simple random sample will reveal a sample mean?

a. above 63

b. between 53 and 63

c. between 40 and 63

d. below 30

e. between 30 and 45

all work must be shown and use of Excel is not allowed.