The average student loan debt for college graduates is $25,000. Suppose that that distribution is normal and that the standard deviation is $10,900. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar. a. What is the distribution of X? X N 25000 10900 OF b Find the probability that the college graduate has between $22,750 and $36,450 in student loan debt. 0.4351 ✓ OB c. The middle 20% of college graduates' loan debt lies between what two numbers? Low: $22239.03 X High: $27760.97 X

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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The average student loan debt for college graduates is $25,000. Suppose that that distribution is normal and
that the standard deviation is $10,900. Let X the student loan debt of a randomly selected college graduate.
Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar.
=
a. What is the distribution of X? X - N 25000
10900
OF OF
b Find the probability that the college graduate has between $22,750 and $36,450 in student loan debt.
0.4351
c. The middle 20% of college graduates' loan debt lies between what two numbers?
Low: $ 22239.03 X
High: $ 27760.97 X
Transcribed Image Text:The average student loan debt for college graduates is $25,000. Suppose that that distribution is normal and that the standard deviation is $10,900. Let X the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar. = a. What is the distribution of X? X - N 25000 10900 OF OF b Find the probability that the college graduate has between $22,750 and $36,450 in student loan debt. 0.4351 c. The middle 20% of college graduates' loan debt lies between what two numbers? Low: $ 22239.03 X High: $ 27760.97 X
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