In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of

21.8

and a standard deviation of

5.9

.

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

16

.

The probability of a student scoring less than

16

is

nothing

.

(Round to four decimal places as needed.)

(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

17.2

and

26.4

.

The probability of a student scoring between

17.2

and

26.4

is

nothing

.

(Round to four decimal places as needed.)

(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

33.9

.

The probability of a student scoring more than

33.9

is

nothing

.

(Round to four decimal places as needed.)

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

A.

The events in parts

left parenthesis a right parenthesis and left parenthesis b right parenthesis

are unusual because its probabilities are less than 0.05.

B.

The event in part

left parenthesis a right parenthesis

is unusual because its probability is less than 0.05.