A population of values has a normal distribution with μ=52.1 and σ=76.5. You intend to draw a random sample of size n=140.

Find the probability that a single randomly selected value is between 56.6 and 67.*P*(56.6 < *X* < 67) =

Find the probability that a sample of size n=140n=140 is randomly selected with a mean between 56.6 and 67.*P*(56.6 < *M* < 67) =

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.