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 10.6. 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 488. The probability that a randomly selected medical student who took the test had a total score that was less than 488 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 507. The probability that a randomly selected medical student who took the test had a total score that was between 495 and 507 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 529. The probability that a randomly selected medical student who took the test had a total score that was more than 529 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. O B. None of the events are unusual because all the probabilities are greater 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.
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 10.6. 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 488. The probability that a randomly selected medical student who took the test had a total score that was less than 488 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 507. The probability that a randomly selected medical student who took the test had a total score that was between 495 and 507 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 529. The probability that a randomly selected medical student who took the test had a total score that was more than 529 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. O B. None of the events are unusual because all the probabilities are greater 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.
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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