According to a Yale program on climate change communicationsurvey, 71% of Americans think global warming is happening.†

(a)

For a sample of 16 Americans, what is the probability that atleast 13 believe global warming is occurring? Use the binomialdistribution probability function discussed in Section 5.5 toanswer this question. (Round your answer to four decimalplaces.)

(b)

For a sample of 140 Americans, what is the probability that atleast 90 believe global warming is occurring? Use the normalapproximation 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 applicationbecomes large, what is the advantage of using the normalapproximation of the binomial distribution to computeprobabilities?

As the number of trials becomes large, the normal approximationsimplifies the calculations required to obtain the desiredprobability.As the number of trials becomes large, the normalapproximation gives a more accurate answer than the binomialprobability function.   

(d)

When the number of trials for a binomial distributionapplication becomes large, would developers of statistical softwarepackages prefer to use the binomial distribution probabilityfunction shown in Section 5.5 or the normal approximation of thebinomial distribution discussed in Section 6.3? Explain.