In the following problem, check that it is appropriate to employ the normal approximation to binomial. Then employ the normal distribution to determine the requested probabilities.
Do you try to pad insurance claim to cover your deductible? About 37% of all U.S. adults will try to pad their insurance claims! Assume that you are the director of insurance adjustment office. Your office has just received 138 insurance claims to be processed in next few days. Determine the following probabilities. (Round your answers to four decimal places.)
(a) half or more of the claims have been padded
(b) fewer than 45 of the claims have been padded
(c) from 40 to 64 of the claims have been padded
(d) more than 80 of the claims have not been padded