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

10.7.

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

493.

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

493

is

enter your response here.

(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

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.)

Part 3

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

532.

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

532

is

enter your response here.

(Round to four decimal places as needed.)

Part 4

(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.

A.

The events in parts

(a)and(b)

are unusual because their probabilities are less than 0.05.

B.

Theeventinpart(c)isunusualbecauseitsprobabilityisless

than 0.05.

C.

The event in part

(a)

is unusual because its probability is less than 0.05.

D.

Noneoftheeventsareunusualbecausealltheprobabilitiesare

greater

than 0.05.