In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 20.1 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 16. The probability of a student scoring less than 16 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 14.4 and 25.8. The probability of a student scoring between 14.4 and 25.8 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 30.7. The probability of a student scoring more than 30.7 is. (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. OA. None of the events are unusual because all the probabilities are greater than 0.05. OB. 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
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Question

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3
In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 20.1 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 16.
The probability of a student scoring less than 16 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 14.4 and 25.8.
The probability of a student scoring between 14.4 and 25.8 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 30.7.
The probability of a student scoring more than 30.7 is
(Round to four decimal places as needed.)
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
F3
OA. None of the events are unusual because all the probabilities are greater than 0.05.
OB. The events in parts (a) and (b) are unusual because its probabilities are less than 0.05.
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Transcribed Image Text:3 In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 20.1 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 16. The probability of a student scoring less than 16 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 14.4 and 25.8. The probability of a student scoring between 14.4 and 25.8 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 30.7. The probability of a student scoring more than 30.7 is (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. F3 OA. None of the events are unusual because all the probabilities are greater than 0.05. OB. The events in parts (a) and (b) are unusual because its probabilities are less than 0.05. F5 % 5 F6 6 F7 & 7 G F8 LI 00* 8 F9 prt sc F10 ( 9 home F11 O Time Remaining: 01:02:41 end F12 insert + 11 delete Next backspace
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