The average student loan debt for college graduates is $25,450. Suppose that that distribution is normal a that the standard deviation is $10,050. Let X = the student loan debt of a randomly selected college gradu Round all probabili ties to 4 decimal places and all dollar answers to the nearest dollar. %3D a. What is the distribution of X? X ~ N( b Find the probability that the college graduate has between $23,250 and $43,000 in student loan debt. c. The middle 30% of college graduates' loan debt lies between what twoiumbers? Low: $ High: $

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The average student loan debt for college graduates is $25,450. Suppose that that distribution is normal am
that the standard deviation is $10,050. Let X = the student loan debt of a randomly selected college gradua
Round all probabili ties to 4 decimal places and all dollar answers to the nearest dollar.
a. What is the distribution of X? X- N
b Find the probabili ty that the college graduate has between $23,250 and $43,000 in student loan debt.
c. The middle 30% of college graduates' loan debt lies between what twojiumbers?
Low: $
High: $
Hint:
Helpful videos:
• Find a Probability [+]
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F3
prt sc
F10
F4
F5
F6
home
end
F7
F8
F9
F11
#3
%24
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7
8.
LE
R
T.
Y
U
近
Transcribed Image Text:The average student loan debt for college graduates is $25,450. Suppose that that distribution is normal am that the standard deviation is $10,050. Let X = the student loan debt of a randomly selected college gradua Round all probabili ties to 4 decimal places and all dollar answers to the nearest dollar. a. What is the distribution of X? X- N b Find the probabili ty that the college graduate has between $23,250 and $43,000 in student loan debt. c. The middle 30% of college graduates' loan debt lies between what twojiumbers? Low: $ High: $ Hint: Helpful videos: • Find a Probability [+] DII F3 prt sc F10 F4 F5 F6 home end F7 F8 F9 F11 #3 %24 & 7 8. LE R T. Y U 近
Expert Solution
Step 1

a.

The Z-score of a random variable X is defined as follows:

Z = (Xµ)/σ.

Here, µ and σ are the mean and standard deviation of X, respectively.

 

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