A population of values has a normal distribution with

=

148.2

=

148.2

and

=

84.5

=

84.5

. You intend to draw a random sample of size

n

=

92

n

=

92

.

a.) Find the probability that a single randomly selected value is between 134.1 and 148.2.

P(134.1 < X < 148.2) =

b.) Find the probability that a sample of size

n

=

92

n

=

92

is randomly selected with a mean between 134.1 and 148.2.

P(134.1 < M < 148.2) =

Enter your answers as numbers accurate to 4 decimal places.