In a recent​ year, the total scores for a certain standardized test were normally​ distributed, with a mean of 500500 and a standard deviation of 10.410.4. Answer parts ​(a)dash–​(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 494494.   The probability that a randomly selected medical student who took the test had a total score that was less than 494494 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 500500 and 514514.   The probability that a randomly selected medical student who took the test had a total score that was between 500500 and 514514 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 531531.   The probability that a randomly selected medical student who took the test had a total score that was more than 531531 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
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Question
In a recent​ year, the total scores for a certain standardized test were normally​ distributed, with a mean of
500500
and a standard deviation of
10.410.4.
Answer parts
​(a)dash–​(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
494494.
 
The probability that a randomly selected medical student who took the test had a total score that was less than
494494
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
500500
and
514514.
 
The probability that a randomly selected medical student who took the test had a total score that was between
500500
and
514514
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
531531.
 
The probability that a randomly selected medical student who took the test had a total score that was more than
531531
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.
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