A population of values has a normal distribution with μ=221.7μ=221.7 and σ=73.9σ=73.9. You intend to draw a random sample of size n=244n=244. a.) Find the probability that a single randomly selected...

A population of values has a normal distribution with μ=221.7μ=221.7 and σ=73.9σ=73.9. You intend to draw a random sample of size n=244n=244.


a.) Find the probability that asingle randomly selected value is greater than 231.6.

P(X > 231.6) =


b.) Find the probability that a sample of size n=244n=244 is randomly selected with a mean greater than 231.6.

P(M > 231.6) =  (Here M is the mean of the sample)
Enter your answers as numbers accurate to 4 decimal places.