A population of values of values has a normal distribution with m = 34.1 and s = 32.3. You intend to draw a random sample of size n = 70.

a. Find the probability that a single randomly selected value is greater than 39.9.

P(X >39.9) = Round to 4 decimal places.

b. Find the probability that the sample mean is greater than 39.9.

P(X > 39.9) = Round to 4 decimal places.

Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted.