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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 10.5. Answer parts

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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
10.5.
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
485.
 
The probability that a randomly selected medical student who took the test had a total score that was less than
485
is
0.07660.0766.
​(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
498
and
512.
 
The probability that a randomly selected medical student who took the test had a total score that was between
498
and
512
is
0.44900.4490.
​(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
0.00290.0029.
​(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 (c) 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.
 
C.
The event in part
(a)
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.
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