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Historical Data Collected at First of America Bank in Michigan

Question 28

Short Answer

Historical data collected at First of America Bank in Michigan revealed that 80% of all customers applying for a loan are accepted. Suppose that 50 new loan applications are selected at random.
Find the expected value of the number of loans that will be accepted by the bank.
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Find the standard deviation of the number of loans that will be accepted by the bank.
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What is the probability that at least 42 loans will be accepted?
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What is the probability that the number of loans rejected is between 10 and 15, inclusive?
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Correct Answer:

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40; 2.828;...

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