In the following problem, check that it is appropriate to usethe normal approximation to the binomial. Then use the normaldistribution to estimate the requested probabilities. Do you try topad an insurance claim to cover your deductible? About 42% of allU.S. adults will try to pad their insurance claims! Suppose thatyou are the director of an insurance adjustment office. Your officehas just received 128 insurance claims to be processed in the nextfew days. Find the following probabilities. (Round your answers tofour decimal places.) (a) half or more of the claims have beenpadded (b) fewer than 45 of the claims have been padded (c) from 40to 64 of the claims have been padded (d) more than 80 of the claimshave not been padded