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 10.5. 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 492. The probability that a randomly selected medical student who took the test had a total score that was less than 492 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 514. The probability that a randomly selected medical student who took the test had a total score that was between 499 and 514 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 523. The probability that a randomly selected medical student who took the test had a total score that was more than 523 is (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. O A. The event in part (a) is unusual because its probability is less than 0.05. OB. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05. B
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 10.5. 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 492. The probability that a randomly selected medical student who took the test had a total score that was less than 492 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 514. The probability that a randomly selected medical student who took the test had a total score that was between 499 and 514 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 523. The probability that a randomly selected medical student who took the test had a total score that was more than 523 is (Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. O A. The event in part (a) is unusual because its probability is less than 0.05. OB. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05. B
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 10.5. 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 492.
The probability that a randomly selected medical student who took the test had a total score that was less than 492 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 514.
The probability that a randomly selected medical student who took the test had a total score that was between 499 and 514 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 523.
The probability that a randomly selected medical student who took the test had a total score that was more than 523 is
(Round to four decimal places as needed.)
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
A. The event in part (a) is unusual because its probability is less than 0.05.
B. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05.
O C. The event in part (c) is unusual because its probability is less than 0.05.
D. None of the events are unusual because all the probabilities are greater than 0.05.
C
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