A population of values has a normal distribution with μ=179 and σ=22.7. You intend to draw a random sample of size n=35.
Find the probability that a single randomly selected value from the population is greater than 186.7.
P(X > 186.7) =
Find the probability that a sample of size n=35 is randomly selected with a mean greater than 186.7.
P(M > 186.7) =
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.