A population of values has a normal distribution with μ = 65.3 and σ=48.6. You intend to draw a random sample of size n=226. Find the probability that a single randomly selected value is less than 74.7.
P(X < 74.7) =
Find the probability that a sample of size n=226 is randomly selected with a mean less than 74.7.
P(M < 74.7) =
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.