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: $
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: $
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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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 = (X – µ)/σ.
Here, µ and σ are the mean and standard deviation of X, respectively.
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