In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 23.7 and a standard deviation of 5.3. Complete parts (a) through (d) below.

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Question

In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 23.7 and a standard deviation of 5.3. 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 19.

The probability of a student scoring less than 19 is

(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 20.7 and 26.7.

The probability of a student scoring between 20.7 and 26.7 is

(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 34.6.

The probability of a student scoring more than 34.6 is

(Round to four decimal places as needed.)

(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 than 0.05.

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

C. The events in parts (a) and (b) are unusual because its probabilities are less than 0.05.

math Statistics-And-Probability

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