1. 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.

2. a survey of adults found that 9% say their favorite sport is auto racing. you randomly select 500 adults and ask them to name their favorite sport.
a. determine whether a normal distribution can be used to approximate the binomial distribution. choose the correct answer below:
a. no, because nq< 5.
b. yes, because both np> =25 and nq> = 25 °
c. no, because np < 5
b) find the probability that the number of people who say auto racing is their favorite sport is at most 53 (round to four decimal places as needed.)
c) find the probability that the number of people who say auto racing is their favorite sport is more than 57 (round to four decimal places as needed.)