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In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 22.1 and a standard deviation of 6.5. 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 21. The probability of a student scoring less than 21 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 13.0 and 31.2. The probability of a student scoring between 13.0 and 31.2 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 35.7. The probability of a student scoring more than 35.7 is (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. OA. The events in parts (a) and (b) are unusual because its probabilities are less than 0.05.

In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 22.1 and a standard deviation of 6.5. 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 21. The probability of a student scoring less than 21 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 13.0 and 31.2. The probability of a student scoring between 13.0 and 31.2 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 35.7. The probability of a student scoring more than 35.7 is (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. OA. The events in parts (a) and (b) are unusual because its probabilities are less than 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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12. In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 22.1 and a standard deviation of 6.5. 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 21. The probability of a student scoring less than 21 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 13.0 and 31.2. The probability of a student scoring between 13.0 and 31.2 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 35.7. The probability of a student scoring more than 35.7 is (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. O A. The events in parts (a) and (b) are unusual because its probabilities are less than 0.05. O B. None of the events are unusual because all the probabilities are greater than 0.05. C. The event in part (a) is unusual because its probability is less than 0.05. D. The event in part (c) is unusual because its probability is less than 0.05.
Transcribed Image Text:12. In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 22.1 and a standard deviation of 6.5. 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 21. The probability of a student scoring less than 21 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 13.0 and 31.2. The probability of a student scoring between 13.0 and 31.2 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 35.7. The probability of a student scoring more than 35.7 is (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. O A. The events in parts (a) and (b) are unusual because its probabilities are less than 0.05. O B. None of the events are unusual because all the probabilities are greater than 0.05. C. The event in part (a) is unusual because its probability is less than 0.05. D. The event in part (c) is unusual because its probability is less than 0.05.
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