A population of values has a normal distribution with μ=8.9 and σ=36.9. You intend to draw a random sample of size n=23. Find the probability that a single randomly selected value is greater than 33.5.
P(X > 33.5) =

Find the probability that a sample of size n=23 is randomly selected with a mean greater than 33.5.
P(M > 33.5) =

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.