A population of values has a normal distribution with = 75.9 and σ = 61.3.

a. Find the probability that a single randomly selected value is between 93.2 and 105.2. Round your
answer to four decimal places.

P(93.2<<105.2) =


b. Find the probability that a randomly selected sample of size n = 32 has a mean between 93.2 and
105.2. Round your answer to four decimal places.

P(93.2 =