The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be 1%. A random sample of 1100 new loans that are under $10,000 is going to be selected. Let p be the proportion of defaults on the loans in the sample. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. |(b) Find the standard deviation of p. (c) Compute an approximation for P(p 20.02), which is the probability that 2% or more of the loans in the sample 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%. A random sample of 1100 new loans that are under $10,000 is going to be selected. Let p be the proportion of defaults on the loans in the sample. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. |(b) Find the standard deviation of p. (c) Compute an approximation for P(p 20.02), which is the probability that 2% or more of the loans in the sample 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
Section10.5: Comparing Sets Of Data
Problem 4CYU
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![The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be 1%.
A random sample of 1100 new loans that are under $10,000 is going to be selected. Let p be the proportion of defaults on the loans in the sample.
Answer the following. (If necessary, consult a list of formulas.)
(a) Find the mean of p
(b) Find the standard deviation of p.
(c) Compute an approximation for P(p >0.02), which is the probability that 2% or more of the loans in the sample
will be defaulted on. Round your answer to four decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba33d2b9-0979-4cc5-a129-e5bcf96924b6%2F0564dd27-c2fc-4363-a9a7-172e4863298e%2Fodv415q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be 1%.
A random sample of 1100 new loans that are under $10,000 is going to be selected. Let p be the proportion of defaults on the loans in the sample.
Answer the following. (If necessary, consult a list of formulas.)
(a) Find the mean of p
(b) Find the standard deviation of p.
(c) Compute an approximation for P(p >0.02), which is the probability that 2% or more of the loans in the sample
will be defaulted on. Round your answer to four decimal places.
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