In a recentyear, the scores for the reading portion of a test were normallydistributed, with a mean of 20.7

20.7 and a standard deviation of 5.7

5.7. Complete parts(a) through(d) below.

(a) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is less than 18

a)The probability of a student scoring less than 18

18 is ?

.

(Round to four decimal places asneeded.)

(b) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is between 15.5

15.5 and 25.9

25.9.

The probability of a student scoring between 15.5

15.5 and 25.9

25.9 is ?

.

(Round to four decimal places asneeded.)

(c) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is more than 32.5

32.5.

The probability of a student scoring more than 32.5

32.5 is ?

.

(Round to four decimal places asneeded.)

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

A.

None of the events are unusual because all the probabilities are greater

Noneoftheeventsareunusualbecausealltheprobabilitiesaregreater than 0.05.

B.

The events in parts left parenthesis a right parenthesis and left parenthesis b right parenthesis

(a)and(b) are unusual because its probabilities are less than 0.05.

C.

The event in part left parenthesis c right parenthesis is unusual because its probability is less

Theeventinpart(c)isunusualbecauseitsprobabilityisless than 0.05.

D.

The event in part left parenthesis a right parenthesis

(a) is unusual because its probability is less than 0.05.