Although studies continue to show smoking leads to significant health problems, 20% of adults in a country smoke. Consider a group of 150 adults.   (b) What is the probability that fewer than 20 smoke? Use the normal approximation of the binomial distribution to answer this question. (c) What is the probability that from 35 to 40 smoke? Use the normal approximation of the binomial distribution to answer this question. (d) What is the probability that 45 or more smoke? Use the normal approximation of the binomial distribution to answer this question.

Seventy-five percent of the students applying to a university are accepted. Using the binomial probability tables, what is the probability that among the next 18 applicants             d. Fifteen or more will be accepted? e. Determine the expected number of acceptances. f. Compute the standard deviation.

Of all the students, 44% own an iPhone, with a standard deviation of .03   For that same sample of 400 students, what is the probability that at least 42% of them own an iPhone?

A recent study showed that 71% of adults need some type of corrective lens (glasses or contacts). A. If I grab a 6 random people what is the probability that fewer than 4 need corrective lenses? B. If I take a random sample of 2000 people what is the mean and standard deviation of the number of people who need corrective lens? C. Use the normal approximation to the binomial to find the probability that I get 1375 or fewer people who need corrective lenses out of a random sample of 2000. Illustrate what you are finding on a sketch of the normal curve and show your work.