In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 21.3 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 18. The probability of a student scoring less than 18 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 16.9 and 25.7. The probability of a student scoring between 16.9 and 25.7 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 32.3. The probability of a student scoring more than 32.3 isO. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. O A. The event in part (a) is unusual because its probability is less than 0.05. O B. The event in part (c) is unusual because its probability is less than 0.05. O C. The events in parts (a) and (b) are unusual because its probabilities are less than 0.05. O D. None of the events are unusual because all the probabilities are greater than 0.05.

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In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 21.3 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 18.
The probability of a student scoring less than 18 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 16.9 and 25.7.
The probability of a student scoring between 16.9 and 25.7 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 32.3.
The probability of a student scoring more than 32.3 isO.
(Round to four decimal places as needed.)
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
O A. The event in part (a) is unusual because its probability is less than 0.05.
O B. The event in part (c) is unusual because its probability is less than 0.05.
O C. The events in parts (a) and (b) are unusual because its probabilities are less than 0.05.
O D. None of the events are unusual because all the probabilities are greater than 0.05.
Transcribed Image Text:In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 21.3 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 18. The probability of a student scoring less than 18 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 16.9 and 25.7. The probability of a student scoring between 16.9 and 25.7 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 32.3. The probability of a student scoring more than 32.3 isO. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. O A. The event in part (a) is unusual because its probability is less than 0.05. O B. The event in part (c) is unusual because its probability is less than 0.05. O C. The events in parts (a) and (b) are unusual because its probabilities are less than 0.05. O D. None of the events are unusual because all the probabilities are greater than 0.05.
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