Question

A survey found that 93% of Americans believe that texting while driving should be outlawed.

(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. (Round your answer to four decimal places.)

(b)

For a sample of 100 Americans, what is the probability that at least 89 say that they believe texting while driving should be outlawed? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

(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?

The advantage would be that using the normal probability distribution to approximate the binomial probabilities increases the number of calculations.The advantage would be that using the normal probability distribution to approximate the binomial probabilities makes the calculations less accurate.    The advantage would be that using the normal probability distribution to approximate the binomial probabilities makes the calculations more accurate.The advantage would be that using the the normal probability distribution to approximate the binomial probabilities reduces the number of calculations.

(d)

When the number of trials for a binominal distribution application becomes large, would developers of statistical software packages prefer to use the binomial distribution probability function shown in Section 5.5 or the normal approximation of the binomial distribution discussed in Section 6.3? Explain.

Answer 1