average. What is the probability that four or fewer patrons will enter the restaurant in a 9-minute period? 4. It has been determined that 5% of drivers checked at a road stop show traces of alcohol and 10% of drivers checked do not wear seat belts. In addition, it has been observed that the two infractions are independent from one another. If an officer stops five drivers at random: a. Calculate the probability that exactly three of the drivers have committed any one of the two offenses. b. Calculate the probability that at least one of the drivers checked has committed at least one of the two offenses. 5. Suppose you have a candy box that consists of ten candies, six of them are sweet, while four of them are sour in taste. When you tend to randomly pick four candies out of the box, find the probability that three of them are sweet and one is sour in

average. What is the probability that four or fewer patrons will enter the restaurant in a 9-minute period? 4. It has been determined that 5% of drivers checked at a road stop show traces of alcohol and 10% of drivers checked do not wear seat belts. In addition, it has been observed that the two infractions are independent from one another. If an officer stops five drivers at random: a. Calculate the probability that exactly three of the drivers have committed any one of the two offenses. b. Calculate the probability that at least one of the drivers checked has committed at least one of the two offenses. 5. Suppose you have a candy box that consists of ten candies, six of them are sweet, while four of them are sour in taste. When you tend to randomly pick four candies out of the box, find the probability that three of them are sweet and one is sour in

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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In a famous study done in the 1960s two dolphins, Doris and Buzz, were trained to work together to earn fish. Doris was shown a light underwater. If the light was on steadily, her partner Buzz on the other side of the tank needed to press a button on the right for them to earn fish. If the light was blinking, he needed to press a button on the left. At one point in the study, the researcher hung a canvas in the middle of the tank in such a way that Buzz could not see the light. After looking at the light, Doris "swam near the curtain and began to whistle loudly. Shortly after that Buzz whistled back and then pressed the [correct] button". (Tintle, Rossman and Chance, MAA Prep Workshop) Of course, getting it right once was not enough to convince the scientists that there was really communication going on. It turned out, that in 15 out of 16 trials the dolphin pushed the correct button. Of course, it is possible that this happened just out of random chance - that the second dolphin just…