40% of the officers at the certain industry own cars. Suppose six officers are selected at random from this industry (with replacement). (a) What is the probability that exactly four will own cars? (b) What is the probability that at least one will ow
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Past surveys show that 40% of the officers at the certain industry own cars. Suppose six officers are selected at random from this industry (with replacement).
(a) What is the
(b) What is the probability that at least one will own a car?
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- A survey of athletes at a high school is conducted, and the following facts are discovered: 48% of the athletes are football players, 33% are basketball players, and 28% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player? Probability % (Please enter your answer as a percent)Four hundred people apply for three jobs. One hundred sixty of the applicants are women. (a) If three people are selected at random, what is the probability that all are women? (Round your answer to six decimal places.) (b) If three people are selected at random, what is the probability that two are women? (Round your answer to six decimal places.)(c) If three people are selected at random, what is the probability that one is a woman? (Round your answer to six decimal places.)(d) If three people are selected at random, what is the probability that none is a woman? (Round your answer to six decimal places.)A math class consists of 15 students, 5 female and 10 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement).(a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males? (c) What is the probability that two females are selected, then one male? (d) What is the probability that three males are selected? (e) What is the probability that three females are selected?
- Thirteen jurors are randomly selected from a population of 5 million residents. Of these 5 million residents, it is known that 45% are of a minority race. Of the 13 jurors selected, 2 are minorities. (a) What proportion of the jury described is from a minority race? (b) If 13 jurors are randomly selected from a population where 45% are minorities, what is the probability that 2 or fewer jurors will be minorities? (c) What might the lawyer of a defendant from this minority race argue? (a) The proportion of the jury described that is from a minority race is (Round to two decimal places as needed.) (b) The probability that 2 or fewer out of 13 jurors are minorities, assuming that the proportion of the population that are minorities is 45%, is (Round to four decimal places as needed.) (c) Choose the correct answer below. A. The number of minorities on the jury is unusually high, given the composition of the population from which it came. B. The number of minorities on the jury is unusually…A math class consists of 35 students, 25 female and 10 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement). (a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males? (C) What is the probability that two females are selected, then one male? (d) What is the probability that three males are selected? (e) What is the probability that three females are selected?In a study by the Department of Transportation, there were a total of 89 drivers that were pulled over for speeding. Out of those 89 drivers, 36 were men who were ticketed, 15 were men who were not ticketed, 4 were women who were ticketed, and 34 were women who were not ticketed. Suppose one person was chosen at random.(a) What is the probability that the selected person is a man who was not ticketed? (b) What is the probability that the selected person is a man who was ticketed?
- A baseball player hit 72 home runs in a season. Of the 72 home runs, 25 went to right field, 24 went to right center field, 12 went to center field, 10 went to left center field, and 1 went to left field. (a) What is the probability that a randomly selected home run was hit to right field? (b) What is the probability that a randomly selected home run was hit to left field? (c) Was it unusual for this player to hit a home run to left field? Explain. (a) The probability that a randomly selected home run was hit to right field is (Round to three decimal places as needed.) (b) The probability that a randomly selected home run was hit to left field is (Round to three decimal places as needed.) (c) Was it unusual for this player to hit a home run to left field? O A. No, because the probability of an unusual event is 0. O B. Yes, because P(left field) < 0.05. OC. Yes, because P(left field) < 0.5. O D. No, because this player hit 1 home runs to left field.Given the following table summarizing the responses of 270 people to the question ‘which evening news program do you watch most often’: If one of these individuals is selected at random, what is the probability that the person watches: - a station other than CBS, given that they are a woman -NBC or CBS, given that the individual is a manCommunity colleges are studying the retention rate of first-year students. It was determined 20 percent of the first-year students don't return. The school contacts 12 students and they all agree to answer a survey given to them by the school. 1) What is the probability that exactly four students do not return after their first year? 2)What is the probability that 1-2 students don not return after the first year? 3) What is the probability that at least five or more students do not return after their first year?
