In: Statistics and Probability
A loan officer in a bank estimates that the probability of
default by an applicant is 0.025. Last month the bank approved 40
loan applications. Using Poisson distribution, find:
i) The probability that 3 loans will be defaulted.
ii) The probability that at least 3 loans will be defaulted.
iii) Find the mean and standard deviation of number of loan
defaults.
iv) Comment on the relationship between the Poisson and Binomial
distribution.