In a recentyear, the total scores for a certain standardized test were normallydistributed, 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 488.

The probability that a randomly selected medical student who took the test had a total score that was less than 488 is

(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 515.

The probability that a randomly selected medical student who took the test had a total score that was between 500 and 515 is

(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 532.

The probability that a randomly selected medical student who took the test had a total score that was more than 532 is

(Round to four decimal places asneeded.)

(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.

Noneoftheeventsareunusualbecausealltheprobabilitiesare greater than 0.05.

D.

The event in part (a) is unusual because its probability is less than 0.05.