Hw 15Q15)In a recentyear, the total scores for a certain standardized test were normallydistributed, with a mean of 500 and a standard deviation of 10.4. 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 491.

The probability that a randomly selected medical student who took the test had a total score that was less than 491 is

0.1934

0.1934.

(Round to four decimal places asneeded.)

(b) Find the probability that a randomly selected medical student who took the test had a total score that was between 500 and 512.

The probability that a randomly selected medical student who took the test had a total score that was between 500 and 512 is

0.3757

0.3757.

(Round to four decimal places asneeded.)

(c) Find the probability that a randomly selected medical student who took the test had a total score that was more than 530.

The probability that a randomly selected medical student who took the test had a total score that was more than 530 is

.

(Round to four decimal places asneeded.)