About 8% of males are colorblind. A researcher needs some colorblind subjects for an experiment and begins checking potential subjects. On average, how many men should the researcher expect to check to find one who is colorblind?

About 8% of males are colorblind. A researcher needs some colorblind subjects for an experiment and begins checking potential subjects. a) On average, how many men should the researcher expect to check to find one who is colorblind? b) What’s the probability that she won’t find anyone colorblind among the first 4 men she checks? c) What’s the probability that the first colorblind man found will be the sixth person checked? d) What’s the probability that she finds someone who is colorblind before checking the 10th man?

Suppose that a researcher is designing a survey to estimate the proportion of adults in your state who oppose a proposed law that requires all automobile passengers to wear a seat belt. What would be the approximate margin of error if the researcher randomly sampled 400 adults? What sample size would be needed to provide a margin of error of about 2%?

A researcher records the number of people who use a coupon when they dine at a certain restaurant. Identify the method of data collection.

Justine works for an organization committed to raising money for Alzheimer’s research. From past experience, the organization knows that about 20% of all potential donors will agree to give something if contacted by phone. They also know that of all people donating, about 5% will give $100 or more. On average, how many potential donors will she have to contact until she gets her first$100 donor?

Only 4% of people have Type AB blood. a) On average, how many donors must be checked to find someone with Type AB blood? b) What’s the probability that there is a Type AB donor among the first 5 people checked? c) What’s the probability that the first Type AB donor will be found among the first 6 people? d) What’s the probability that we won’t find a Type AB donor before the 10th person?

Raaj works at the customer service call center of a major credit card bank. Cardholders call for a variety of reasons, but regardless of their reason for calling, if they hold a platinum card, Raaj is instructed to offer them a double-miles promotion. About 10% of all cardholders hold platinum cards, and about 50% of those will take the double-miles promotion. On average, how many calls will Raaj have to take before finding the first cardholder to take the doublemiles promotion?

Genomic evidence indicates that the genes for antibiotic resistance are ancient: (a) How could these genes have arisen in the first place? (b) Why were they not lost from the bacterial genome? (c) Explain why these genes are proliferating now:

Suppose a computer chip manufacturer rejects 2% of the chips produced because they fail presale testing. What's the probability you find a bad one within the first 10 you examine?

A basketball player has made 80% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight's game he misses for the first time on his fifth attempt.

A basketball player has made 80% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight's game he makes his first basket on one of his first 3 shots.

An airline, believing that 5% of passengers fail to show up for flights, overbooks (sells more tickets than there are seats). Suppose a plane will hold 265 passengers, and the airline sells 275 tickets. What’s the probability the airline will not have enough seats, so someone gets bumped?

A Department of Transportation report about air travel found that airlines misplace about 5 bags per 1000 passengers. Suppose you are traveling with a group of people who have checked 22 pieces of luggage on your flight. Can you consider the fate of these bags to be Bernoulli trials? Explain.

A Department of Transportation report about air travel found that, nationwide, 76% of all flights are on time. Suppose you are at the airport and your flight is one of 50 scheduled to take off in the next two hours. Can you consider these departures to be Bernoulli trials? Explain.