(a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30. (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 33.

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Assume that the normal distribution can be used to approximate the following binomial distribution question.
A survey of adults found that 6% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts (a) and (b).
(a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30.
(b) Find the probability that the number of people who say auto racing is their favorite sport is more than 33.
(Round to four decimal places as needed.)
Transcribed Image Text:Assume that the normal distribution can be used to approximate the following binomial distribution question. A survey of adults found that 6% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts (a) and (b). (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30. (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 33. (Round to four decimal places as needed.)
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