In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. It is known that76%of all new products introduced in grocery stores fail (are taken off the market) within 2 years. If a grocery store chain introduces69new products, find the following probabilities. (Round your answers to four decimal places.)

(a) within 2 years 47 or more fail (b) within 2 years 58 or fewer fail (c) within 2 years 15 or more succeed (d) within 2 years fewer than 10 succeed