The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be 1% . The bank will make 1100 loans that are under $10,000 next month. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p , where p is the proportion of defaults on the 1100 loans under $10,000 to be made next month. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.02 , which is the probability that 2% or more of next month's loans under $10,000 will be defaulted on. Round your answer to four decimal places.
The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be 1% . The bank will make 1100 loans that are under $10,000 next month. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p , where p is the proportion of defaults on the 1100 loans under $10,000 to be made next month. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.02 , which is the probability that 2% or more of next month's loans under $10,000 will be defaulted on. Round your answer to four decimal places.
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
The Credit Risk Department of a major bank estimates the default rate on loans under
to be
. The bank will make
loans that are under
next month.
$10,000
1%
1100
$10,000
Answer the following. (If necessary, consult a list of formulas.)
(a)Find the mean of
p
p
1100
$10,000
(b)Find the standard deviation of
p
(c)Compute an approximation for
P≥p0.02
2%
$10,000
|
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