1 Which of the following is a discrete variable? a The weight of a person b The height of a person c The number of people in a room d The mass of a person 2 Which of the following is a continuous variable? a The energy usage of a person in a day b A person's net worth c The age of a person in years d The population of Boyceville 3 Which of the following is a discrete variable? a The tempreature outside b The number of computers in a building c The amount of material needed d The height of a building S14.1 S14.1 S14.1 Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 1 of 8
1 Ninety percent of the graduates of Hammville University who apply to a particular medical school are admitted. This year six graduates from Hammville University have applied for admission to the medical school. Find the probabilty that only four of them will be accepted. a 0.10 b 0.0984 c 0.25 d 0.125 2 Bob is taking a multiple choice test that consists of five questions. Each question has four possible answers. Bob guesses at every answer. What is the probability that he passes the exam if he needs at least four correct answers to pass? a 0.125 b 0.032 c 0.25 d 0.016 3 A shipment of 100 tires from the Hammville Tire Corporation is known to contain 20 defective tires. Five tires are selected at random and each tire is replaced before the next tire is selected. What is the probability of getting at most two defective tires? a 0.6225 b 0.8825 c 0.7965 d 0.9421 S14.2 S14.2 S14.2 Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 2 of 8
1 Bob is a doorman at the Hotel Hammville. The following table gives the probabilities that customers will give tips of varying amounts of money S14.3 $$$ 30 35 40 45 50 55 60 p(x) 0.45 0.25 0.12 0.08 0.05 0.03 0.02 Find the mean of the distribution a 36 b 40 c 30 d 32.5 2 Joe works for the US Census Bureau. For a particular midwestern town the number of children per family and their respective probabilities is as follows S14.3 Children 0 1 2 3 4 5 6 p(x) 0.07 0.17 0.31 0.27 0.11 0.06 0.01 Find the mean of the distribution a 3 b 2.4 c 3.1 d 2 3 Bob is a waiter. The following table gives the probabilities that customers will give tips of varying amounts of money S14.3 $$$ 10 20 30 40 50 60 70 p(x) 0.05 0.08 0.07 0.25 0.30 0.19 0.06 Find the mean of the distribution a 50 b 44.8 c 55 d 48.2 Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 3 of 8
1 Bob is a doorman at the Hotel Hammville. The following table gives the probabilities that customers will give tips of varying amounts of money S14.4 $$$ 30 35 40 45 50 55 60 p(x) 0.45 0.25 0.12 0.08 0.05 0.03 0.02 Find the variance of the distribution a 48 b 62 c 77 d 57 2 Joe works for the US Census Bureau. For a particular midwestern town the number of children per family and their respective probabilities is as follows S14.4 Children 0 1 2 3 4 5 6 p(x) 0.07 0.17 0.31 0.27 0.11 0.06 0.01 Find the variance of the distribution a 0.92 b 1.88 c 2.41 d 1.69 3 Bob is a waiter. The following table gives the probabilities that customers will give tips of varying amounts of money S14.4 $$$ 10 20 30 40 50 60 70 p(x) 0.05 0.08 0.07 0.25 0.30 0.19 0.06 Find the mean of the distribution a 198 b 221 c 154 d 243 Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 4 of 8
1 A fair die is rolled 600 times. Find the mean of the number of ones that show. a 200 b 150 c 300 d 100 2 A fair die is rolled 300 times. Find the mean of the number of even numbers that show. a 150 b 100 c 175 d 200 3 A person picks a random card out of a deck of 52 playing cards 200 times. Find the mean of the number of times that this card is an eight. a 15 b 45 c 30 d 60 S14.5 S14.5 S14.5 Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 5 of 8
1 A fair die is rolled 600 times. Find the variance of the number of ones that show. a 110 b 70 c 100 d 83 2 A fair die is rolled 300 times. Find the variance of the number of even numbers that show. a 25 b 75 c 50 d 100 3 A person picks a random card out of a deck of 52 playing cards 200 times. Find the standard deviation of the number of times that this card is an eight. a 14 b 20 c 28 d 30 S14.6 S14.6 S14.6 Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 6 of 8
1 An animal trainer finds that the number, x, of animal bites per month that her crew experiences follows an approximate Poisson distribution with a mean of 7.5. Find the variance of x. a 15 b 3.75 c 7.5 d 5 2 Official records in Hammville show that the average number of school closings in a school due to snowstorms is four. What is the probability that there will be six school closings this year due to snowstorms assuming that the distribution follows a Poisson Distribution? a 0.525 b 0.104 c 0.025 d 0.235 3 From past experience a baseball club owner knows that about six games, on average, will have to be postponed during the season because of rain. Find the probability that this season three games will have to be postponed because of rain assuming this follows a Poisson Distribution? a 92.8% b 5.8% c 99.8% d 0.2% S14.7 S14.7 S14.7 Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 7 of 8
1 A production run of 100 radios is received by the shipping department. It is known that ten of the radios in the production run are defective. The quality-control engineer randomly selects eight of the radios from the production run. Find the probability that six of the radios are defective. a 0.0000045 b 0.00045 c 0.000045 d 0.045 2 A faculty-student committee is to be selected at random from three students and six faculty members. The committee is to consist of five people. Find the probability that the committee will contain no students. a 1.1% b 0 c 4.8% d 11.9 3 A faculty-student committee is to be selected at random from three students and six faculty members. The committee is to consist of five people. Find the probability that the committee will contain three students. a 1.1% b 0 c 4.8% d 11.9 S14.8 S14.8 S14.8 Updated 9/2/2018 Boyceville High School, Mr. Hamm Page 8 of 8