A population of values has a normal distribution with
and
. You intend to draw a random sample of size
.

Find the probability that a single randomly selected value is between 189.7 and 213.
P(189.7 < X < 213) =


Find the probability that a sample of size
is randomly selected with a mean between 189.7 and 213.
P(189.7 < M < 213) =


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.