2- According to the historical data for the Bank of China, 25% of all credit card applications are The reason for rejection may be because the applicants have too many credit cards, the applicants’ income levels are too low, or the applicants’ credit card balances are too high, among other things. To justify the claim, a random sample of 500 new credit card applications are selected.   What is the expected value and the standard error the proportion of the number of applications that will be rejected by the bank? What is the probability that at least 100 credit card applications will be rejected by the bank? What is the probability that at most 115 credit card applications will be rejected by the bank? What is the probability that the number of applications rejected by the bank is between 110 and 150?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 26E
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2- According to the historical data for the Bank of China, 25% of all credit card applications are The reason for rejection may be because the applicants have too many credit cards, the applicants’ income levels are too low, or the applicants’ credit card balances are too high, among other things. To justify the claim, a random sample of 500 new credit card applications are selected.

 

  1. What is the expected value and the standard error the proportion of the number of applications that will be rejected by the bank?
  2. What is the probability that at least 100 credit card applications will be rejected by the bank?
  3. What is the probability that at most 115 credit card applications will be rejected by the bank?
  4. What is the probability that the number of applications rejected by the bank is between 110 and 150?
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