11. In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.8. Answer parts (a)-(d) below. (a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 486. The probability that a randomly selected medical student who took the test had a total score that was less than 486 is (Round to four decimal places as needed.) (b) Find the probability that a randomly selected medical student who took the test had a total score that was between 495 and 510. The probability that a randomly selected medical student who took the test had a total score that was between 495 and 510 is (Round to four decimal places as needed.) (c) Find the probability that a randomly selected medical student who took the test had a total score that was more than 527. The probability that a randomly selected medical student who took the test had a total score that was more than 527 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 event in part (a) is unusual because its probability is less than 0.05. OC. The event in part (c) is unusual because its probability is less than 0.05. D. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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11. In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.8. Answer parts
(a)-(d) below.
(a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 486.
The probability that a randomly selected medical student who took the test had a total score that was less than 486 is
(Round to four decimal places as needed.)
(b) Find the probability that a randomly selected medical student who took the test had a total score that was between 495 and 510.
The probability that a randomly selected medical student who took the test had a total score that was between 495 and 510 is
(Round to four decimal places as needed.)
(c) Find the probability that a randomly selected medical student who took the test had a total score that was more than 527.
The probability that a randomly selected medical student who took the test had a total score that was more than 527 is
(Round to four decimal places as needed.)
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
O A. None of the events are unusual because all the probabilities are greater than 0.05.
B. The event in part (a) is unusual because its probability is less than 0.05.
OC. The event in part (c) is unusual because its probability is less than 0.05.
O D. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05.
Transcribed Image Text:11. In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.8. Answer parts (a)-(d) below. (a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 486. The probability that a randomly selected medical student who took the test had a total score that was less than 486 is (Round to four decimal places as needed.) (b) Find the probability that a randomly selected medical student who took the test had a total score that was between 495 and 510. The probability that a randomly selected medical student who took the test had a total score that was between 495 and 510 is (Round to four decimal places as needed.) (c) Find the probability that a randomly selected medical student who took the test had a total score that was more than 527. The probability that a randomly selected medical student who took the test had a total score that was more than 527 is (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. O A. None of the events are unusual because all the probabilities are greater than 0.05. B. The event in part (a) is unusual because its probability is less than 0.05. OC. The event in part (c) is unusual because its probability is less than 0.05. O D. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05.
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