5b.

In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of

500

and a standard deviation of

10.2.

Answer parts

(a)-(d)

below.

Question content area bottom

Part 1

(a) Find the probability that a randomly selected medical student who took the test had a total score that was less than

491.

The probability that a randomly selected medical student who took the test had a total score that was less than

491

is

0.18880.1888.

(Round to four decimal places as needed.)

Part 2

(b) Find the probability that a randomly selected medical student who took the test had a total score that was between

498

and

510.

The probability that a randomly selected medical student who took the test had a total score that was between

498

and

510

is

enter your response here.

(Round to four decimal places as needed.)