Determine 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 in a region found that 31% name professional football as their favorite sport. You randomly select 12 adults in the region and ask them to name their favorite sport. Complete parts (a) through (d) below Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. O A. Yes, both np 2 5 and nq 2 5 O B. No, nq <5 C. No, np <5 (a) Find the probability that the number who name professional football as their favorite sport is exactly 8. The probability is (Round to four decimal places as needed.)

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Determine 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 in a region found that 31% name professional football as their favorite sport. You randomly select 12 adults in the region and ask them to name their favorite sport. Complete parts (a)
through (d) below
.....
Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below.
A. Yes, both np 25 and nq 25
B. No, nq < 5
C. No, np < 5
(a) Find the probability that the number who name professional football as their favorite sport is exactly 8.
The probability is
(Round to four decimal places as needed.)
Transcribed Image Text:Determine 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 in a region found that 31% name professional football as their favorite sport. You randomly select 12 adults in the region and ask them to name their favorite sport. Complete parts (a) through (d) below ..... Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. A. Yes, both np 25 and nq 25 B. No, nq < 5 C. No, np < 5 (a) Find the probability that the number who name professional football as their favorite sport is exactly 8. The probability is (Round to four decimal places as needed.)
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