#1
Extracted text: 1. Three of the following statements contain incorrect myths about randomness. Which one of the following statements is true? A basketball player makes 80% of the shots he takes. He has made his last 5 shots, so he is due to make his next shot because of the law of averages. b. When pick random integers from 1 to 10 on your calculator, it is just as likely to get the sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 as it is to get 1, 1, 1, 1, 1, 1, 1, 1, 1, 1. c. A family has had 5 children and each child was a boy. The next child they have is more likely to be a girl because of the law of averages. d. A die will be rolled thirty times. Each face of the die will land face up five times. а. 2. Caitlyn is planning on going to the movies with her friends. She and her friends must decide which movie to see. Her choices were the action movie, the drama, or the comedy. She also was not sure what snacks to purchase at the movies. She wanted some popcorn, but was not sure if she wanted the large, medium, or small popcorn. She also wanted a drink that could be purchased as a small, medium, or large. Finally, she was going to buy a candy bar that either had peanuts in it or the one that did not have peanuts in it. How many different ways could Caitlyn spend her night at the movies? а. 16 с. 11 b. 54 d. 81 3. So far in a major league baseball player's career, he has gotten a hit in 30% of his at-bats. An announcer in the game claims that the player has a probability of 0.30 of getting a hit. Which of the following is the best interpretation of the probability? a. If the player has not had a hit in the last seven at-bats, he is more likely to get a hit in the next at-bat. b. In the next ten at-bats, the player will get 3 hits. c. As the player gets more and more at-bats, the number of hits the player gets out of the total number of at-bats will be get closer and closer to 30%. d. In a season where the player has 500 at-bats, he will get 150 hits. 4. The teachers at a local high school were surveyed. Two of the variables recorded for the 150 teachers were housing status and length of service. Housing status was recorded as owning or renting your residence, while length of service was classified as a new teacher with less than 5 years of service or as an experienced teacher with at least 5 years of service. The following table summarizes the responses. Based on the responses, what is the probability that a randomly selected teacher from this school is a teacher who has less than 5 years of teaching experience and who owns their own home? Housing status Own Rent Total New teacher 25 30 Experienced teacher 75 45 120 Total 80 70 150 5/150 b. 80/150 5/80 d. 5/30 a. с.