A population of values has a normal distribution with μ=242.8μ=242.8 and σ=66.4σ=66.4. You intend to draw a random sample of size n=249n=249.
Find the probability that a single randomly selected value is greater than 236.9.
P(X > 236.9) =
Find the probability that a sample of size n=249is randomly selected with a mean greater than 236.9.
P(M > 236.9) =
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.