C... (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 17.4 and 27.6. The probability of a student scoring between 17.4 and 27.6 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 33.4. The probability of a student scoring more than 33.4 is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 22.5 and a standard deviation of 5.2. 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 17.4 and 27.6.
The probability of a student scoring between 17.4 and 27.6 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 33.4.
The probability of a student scoring more than 33.4 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.
OC. The events in parts (a) and (b) are unusual because its probabilities are less than 0.05.
D. The event in part (a) is unusual because its probability is less 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 22.5 and a standard deviation of 5.2. 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 17.4 and 27.6. The probability of a student scoring between 17.4 and 27.6 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 33.4. The probability of a student scoring more than 33.4 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. OC. The events in parts (a) and (b) are unusual because its probabilities are less than 0.05. D. The event in part (a) is unusual because its probability is less than 0.05.
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