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Decide whether you can use the normal distribution to approximate the binomial distribution If you...

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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 600 adults and ask them to name their favorite sport Complete parts a through d Determine whether a normal distribution can be used to approximate the binomial distribution Choose the correct answer below O A No because np 5 O B Yes because both np 25 and nq 25 O C No because nq 5 a Find the probability that the number of people who say auto racing is their favorite sport is at most 62 Round to four decimal places as needed Sketch the graph of the normal distribution with the indicated probability shaded OA 54 30 62 78 X B 30 u 54 Q X G 62 78 b Find the probability that the number of people who say auto racing is their favorite sport is more than 67 O C H 54 30 62 78 Q D The normal distribution cannot be used to approximate the binomial distribution

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