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 11 adults in the region and ask them to name their favorite sport. Complete parts​ (a) through​ (d) below   ​(a) Find the probability that the number who name professional football as their favorite sport is exactly 8.

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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
33​%
name professional football as their favorite sport. You randomly select
11
adults in the region and ask them to name their favorite sport. Complete parts​ (a) through​ (d) below
 
​(a) Find the probability that the number who name professional football as their favorite sport is exactly
8.
 
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