A population of values has a normal distribution with

=

70.6

=

70.6

and

=

49.1

=

49.1

. You intend to draw a random sample of sizen

=

99

n

=

99

.

a.) Find the probability that asinglerandomly selected value is between 59.3 and 64.2.

P(59.3 <X< 64.2) =

b.) Find the probability that a sample of sizen

=

99

n

=

99

is randomly selected with a mean between 59.3 and 64.2.

P(59.3 <M< 64.2) =

Enter your answers as numbers accurate to 4 decimal places.