For each working day, in a local bank, there will be n people applying for personal loan. The probability that the

Question

person’s application is successful is p. Given that the mean number of successful application is 27 and the variance
is 2.7.
(i) Calculate the values of n and p.
Using the values from part (b)(i),
(ii) find the probability that there were 25 successful application.
(iii) find the probability that the number of successful application is more than the mean value.