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 33?% name professional football as their favorite sport. You randomly select 13 adults in the region and ask them to name their favorite sport. Complete parts?(a) through?(d) below

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 33% name professional football as their favorite sport. You randomly select 13 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 oorrect answer below. O A. Yes, both np25 and no 25 O B. No,nq2 10 (b) Find the probability that the number who name professional football as their favorite sport is at most 3. The probability is . (Round to four decimal plaoes as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. O B. O C. O D. u = 4.29 P = 429 u = 4,29 The normal distribution cannot be used to approximate i Q Q binomial distribution. It Q 1 Q Q 1 . x 1 . ['1' ['1' ['1' -2 3 1o -2 3 1o -2 3 10 (c) Find the probability that the number who name professional football as their favorite sport is fewer than 7. The probability is . (Round to four decimal places as needed.) (c) Find the probability that the number who name professional football as their favorite sport is fewer than 7. The probability is . (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. O B. u = 4.29 Q n = 4-29 Q a q x x L IZ' |L E).- -2 10 -2 10 (d) Identify any unusual events. Explain. A. The event in part (c) is unusual because its probability is less than 0.05. B. The event in part (a) is unusual because its probability is less than 0.05. C. The event in part (b) is unusual because its probability is less than 0.05. D. There are no unusual events, because all of the probabilities are greater than 0.05. OD. The normal distribution cannot be used to approximatel binomial distribution