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 10.5. Answer parts (a)–(d) below. (a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 485. The probability that a randomly selected medical student who took the test had a total score that was less than 485 is 0.07660.0766. (Round to four decimal places as needed.) (b) Find the probability that a randomly selected medical student who took the test had a total score that was between 498 and 512. The probability that a randomly selected medical student who took the test had a total score that was between 498 and 512 is enter your response here. (Round to four decimal places as needed.)

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 10.5. Answer parts (a)–(d) below. (a) Find the...

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

10.5.

Answer parts

(a)–(d)

below.

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

485.

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

485

0.07660.0766.

(Round to four decimal places as needed.)

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

498

and

512.

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

498

and

512

enter your response here.

(Round to four decimal places as needed.)

Jun 11, 2022