A CBS News/new York times survey found that 97% of Americans believe that textingwhile driving should be outlawed (CBS News website, January 5, 2015).a. For a sample of 10 Americans, what is the probability that at least 8 say that theybelieve texting while driving should be outlawed? Use the binomial distribution probability function discussed in Section 5.5 to answer this question.b. For a sample of 100 Americans, what is the probability that at least 95 say that theybelieve texting while driving should be outlawed? Use the normal approximation ofthe binomial distribution to answer this question.c. As the number of trials in a binomial distribution application becomes large, whatis the advantage of using the normal approximation of the binomial distribution tocompute probabilities?

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A CBS News/new York times survey found that 97% of Americans believe that texting
while driving should be outlawed (CBS News website, January 5, 2015).
a. For a sample of 10 Americans, what is the probability that at least 8 say that they
believe texting while driving should be outlawed? Use the binomial distribution probability function discussed in Section 5.5 to answer this question.
b. For a sample of 100 Americans, what is the probability that at least 95 say that they
believe texting while driving should be outlawed? Use the normal approximation of
the binomial distribution to answer this question.
c. As the number of trials in a binomial distribution application becomes large, what
is the advantage of using the normal approximation of the binomial distribution to
compute probabilities?

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