Chapter 17 Review

Question #1 Jon has rolled a three five times in a row. What is the probability that he rolls another three on his next roll? Jon plans on rolling his die 25 times. You get a phone call and do not pay attention to his next twenty rolls. How many three’s do you expect him to have when he is done?

Question #2 According to the American Humane Society, 39% of American households own a pet. What is the probability that of five randomly selected households at least one owned a pet? What is the probability that five randomly selected households all had pets?

Question #3 Tell if the statement represents an Binomial or Geometric model. The number of people surveyed until we find one with a pet. The number of people surveyed in this classroom until we find one with a pet. The number of people surveyed until we find someone who owns a poodle. The number of people surveyed in the building that have a poodle.

Question #4 LSW claims that their failure rate is 5%. How many students would you expect to survey to find one that does not pass? What is the probability that three students out of 30 are not passing?

Question #5 The Lincoln Human Society states 21% of visitors adopted pets. The Lincoln Humane Society typically has 15 visitors a month. – Can the pet adoptions be considered Bernoulli trials? – What is the probability that the seventh visitor was the first to adopt a pet? – Let X represent the number of adopted pets in a typical month. What is the probability model for X? – What is the mean and standard deviation?

Question #6 The American Humane Society has designed a new ad campaign to promote pet adoption. They want to check the effectiveness of the campaign by selecting 1500 random visitors and again estimating the percentage of those that adopted pets. – Verify that a Normal model is a useful approximation for the binomial in this situation. – How many adoptions would it take to convince you that the percentage of adoptions had increased significantly? Explain.