A population of values has a normal distribution with

=50.6 and=25.1

. You intend to draw a random sample of size

n=232

. Please show your answers as numbers accurate to 4 decimal places.

Find the probability that a single randomly selected value is less than 53.7.

P(X < 53.7) =

Find the probability that a sample of size

n=232

is randomly selected with a mean less than 53.7.

P(x< 53.7) =