A survey of adults found that 6​% say their favorite sport is auto racing. You randomly select 500 adults and ask them to name their favorite sport. Complete parts​ (a) through​ (d). Find the probability that the number of people who say auto racing is their favorite sport is at most 36

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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8.

a. (a) Find the probability that the number who have encountered fraudulent charges on their credit cards is​ (a) exactly 78​, (b) at least 78​, and​ (c) fewer than 78.

b.

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 6​% say their favorite sport is auto racing. You randomly select 500 adults and ask them to name their favorite sport. Complete parts​ (a) through​ (d). Find the probability that the number of people who say auto racing is their favorite sport is at most 36.
 
 
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