A population of values has a normal distribution with=150.6

=150.6

and=72.7

=72.7

. You intend to draw a random sample of sizen=223

n=223

.

Find the probability that a single randomly selected value is less than 152.5.

P(X< 152.5) =

Find the probability that a sample of sizen=223

n=223

is randomly selected with a mean less than 152.5.

P(M< 152.5) =

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.