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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 10.3. Answe parts (a)-(d) below.

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 10.3. Answe parts (a)-(d) below.

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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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 10.3. 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 485. The probability that a randomly selected medical student who took the test had a total score that was less than 485 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 499 and 511. The probability that a randomly selected medical student who took the test had a total score that was between 499 and 511 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 524. The probability that a randomly selected medical student who took the test had a total score that was more than 524 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 (a) is unusual because its probability is less than 0.05. C. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05. O D. The event in part (c) is unusual because its probability is less than 0.05. .
Transcribed Image Text: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 10.3. 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 485. The probability that a randomly selected medical student who took the test had a total score that was less than 485 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 499 and 511. The probability that a randomly selected medical student who took the test had a total score that was between 499 and 511 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 524. The probability that a randomly selected medical student who took the test had a total score that was more than 524 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 (a) is unusual because its probability is less than 0.05. C. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05. O D. The event in part (c) is unusual because its probability is less than 0.05. .
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