Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults found that 9% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts (a) through (d). (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 42. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. O B. O C. OD. H = 36 H = 36 H = 36 The normal distribution cannot be used to approximate the binomial distribution. 55 17 42 65 (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 46. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. O B. OC. O D. H =36 H=36 H = 36 The normal distribution cannot be used to approximate the binomial distribution. 55 17 46 55 (c) Find the probability that the number of people who say auto racing is their favorite sport is between 33 and 40, inclusive. (Round to four decimal places as needed.)