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
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Author:Amos Gilat
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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.
 
 
 

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.
 
 
A.
The event in part (c) is unusual because its probability is less
than 0.05.
 
B.
The event in part
(a)
is unusual because its probability is less than 0.05.
 
C.
None of the events are unusual because all the probabilities are
greater
than 0.05.
 
D.
The events in parts
(a) and (b)
are unusual because their probabilities are less than 0.05.
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