Sampling distributions for means:A population of values has a normal distribution with
μ
=
76.8
μ
=
76.8
and
σ
=
87.7
σ
=
87.7
. You intend to draw a random sample of size
n
=
143
n
=
143
.

Find the probability that a single randomly selected value is between 62.1 and 99.5.
P(62.1 < X < 99.5) =

Find the probability that a sample of size
n
=
143
n
=
143
is randomly selected with a mean between 62.1 and 99.5.
P(62.1 < M < 99.5) =

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.