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 10.4. 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 487.   The probability that a randomly selected medical student who took the test had a total score that was less than 487 is enter your response here. ​(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 526.   The probability that a randomly selected medical student who took the test had a total score that was more than 526 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 events in parts (a) and (b) are unusual because their probabilities are less than 0.05.   B. The event in part (c) is unusual because its probability is 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.

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
10.4.
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
487.
 
The probability that a randomly selected medical student who took the test had a total score that was less than
487
is
enter your response here.
​(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
526.
 
The probability that a randomly selected medical student who took the test had a total score that was more than
526
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 events in parts
(a) and (b)
are unusual because their probabilities are less than 0.05.
 
B.
The event in part (c) is unusual because its probability is 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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