About 40 of all US adults will try to pad their insurance cl

About 40% of all US adults will try to pad their insurance claim this year. A director of an insurance adjustment office has just received 128 insurance claims to be processed. What is the probability that more than 80 of the claims are not padded?

Please show me step by step!

Solution

Let X be no of claims that are not padded

Then X follows a binomial distribution with p =0.60

n =128

P(X>80) = cumulative prob for x<=80

= 0.2534