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. Question content area bottom Part 1 (a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 490. The probability that a randomly selected medical student who took the test had a total score that was less than 490 is 0.16850.1685. (Round to four decimal places as needed.) Part 2 (b) Find the probability that a randomly selected medical student who took the test had a total score that was between 499 and 512. The probability that a randomly selected medical student who took the test had a total score that was between 499 and 512 is enter your response here. (Round to four decimal places as needed.) Part 3 (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 enter your response here. (Round to four decimal places as needed.) Part 4 (d) Identify any unusual events. Explain your reasoning. Choose the correct answer 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 10.5. Answer parts (a)–(d) below. Question content area bottom Part 1 (a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 490. The probability that a randomly selected medical student who took the test had a total score that was less than 490 is 0.16850.1685. (Round to four decimal places as needed.) Part 2 (b) Find the probability that a randomly selected medical student who took the test had a total score that was between 499 and 512. The probability that a randomly selected medical student who took the test had a total score that was between 499 and 512 is enter your response here. (Round to four decimal places as needed.) Part 3 (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 enter your response here. (Round to four decimal places as needed.) Part 4 (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
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
Related questions
Question
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.Question content area bottom
Part 1
(a) Find the probability that a randomly selected medical student who took the test had a total score that was less than
490.
The probability that a randomly selected medical student who took the test had a total score that was less than
490
is
0.16850.1685.
(Round to four decimal places as needed.)
Part 2
(b) Find the probability that a randomly selected medical student who took the test had a total score that was between
499
and
512.
The probability that a randomly selected medical student who took the test had a total score that was between
499
and
512
is
enter your response here.
(Round to four decimal places as needed.)
Part 3
(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
enter your response here.
(Round to four decimal places as needed.)
Part 4
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
The event in part (c) is unusual because its probability is less
than 0.05.The event in part
(a)
is unusual because its probability is less than 0.05.None of the events are unusual because all the probabilities are
greater
than 0.05.The events in parts
(a) and (b)
are unusual because their probabilities are less than 0.05.Expert Solution
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