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
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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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.
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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