of final examination grades in an introductory statistics course is normally​ distributed, with a mean of 72 and a standard deviation of 9. Complete parts​ (a) through​ (d).   .a. What is the probability that a student scored below 88 on this​ exam?   The probability that a student scored below 88 is?   ​(Round to four decimal places as​ needed.)   b.

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A set of final examination grades in an introductory statistics course is normally​ distributed, with a mean of 72 and a standard deviation of 9.
Complete parts​ (a) through​ (d).
 
.a.
What is the probability that a student scored below 88 on this​ exam?
 
The probability that a student scored below 88 is?
 
​(Round to four decimal places as​ needed.)
 
b.
What is the probability that a student scored between 63 and 94​?
 
The probability that a student scored between 63 and 94 is?
​(Round to four decimal places as​ needed.)
 
c.
The probability is 15​% that a student taking the test scores higher than what​ grade?
 
The probability is 15​% that a student taking the test scores higher than?
​(Round to the nearest integer as​ needed.)
 
d.
If the professor grades on a curve​ (for example, the professor could give​ A's to the top​ 10% of the​ class, regardless of the​ score), is a student better off with a grade of 90 on the exam with a mean of 72 and a standard deviation of 9 or a grade of 73 on a different​ exam, where the mean is 69 and the standard deviation is 4​?
Show your answer statistically and explain.
 
A student is
 
better off OR
worse off
with a grade of
90
on the exam with a mean of
72
and a standard deviation of
9
because the Z value for the grade of
90
is
nothing
and the Z value for the grade of
73
on the different exam is
nothing.
​(Round to two decimal places as​ needed.)
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