A population of values has a normal distribution with = 114.3 and o=74.6. If a random sample of size
n = 20 is selected

a. Find the probability that a single randomly selected value is less than 146. Round your answer to four
decimals.
P(X < 146) =

b. Find the probability that a sample of size n = 20 is randomly selected with a mean less than 146.
Round your answer to four decimals.
P(M < 146) =



Answer :