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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman