Suppose you forgot to study for a true/false test with 6 questions. You also have not shown up to class for three weeks and you know nothing about the material. You have decided to walk in the door and randomly guess. The test has 6 questions. 1. Create a binomial distribution where the random variable is the number correct. # Correct 0 1 2 3 4 5 6 Probability 2. What is the probability of getting exactly 3 problems correct? 3. What is the probability of getting more than 2 correct? 4. Given the fact that a person passed (60% or higher), what is the probability they got 4 correct? Suppose you forgot to study for a multiple-choice test with 6 questions. Each question has 5 possible answers. You also have not shown up to class for three weeks and you know nothing abou the material. You have decided to walk in the door and randomly guess. 5. Create a binomial distribution where the random variable is the number correct. # Correct 0 2 3 4 5 6 Probability 6. What is the probability of getting exactly 3 problems correct? 7. What is the probability of getting more than 2 correct? 8. Given a person failed (Lower than 60%), what is the probability they missed all of them?9. At the University of Arizona 63% of the students are female and only 37% are male. girls? Assume you are at a party with 7 people. What is the probability that at least 4 of them are 10. 42 cars are parked in a parking lot on a very cold day. There is a 2% chance that an individual car will not start. The school has 1 pair of jumper cables. What is the probability that 2 or more cars will not start? 1 1. You have a bag with 2500 blue marbles and 3680 red marbles. You randomly pick 12 marbles out of the bag. What is the probability that 8 of them are red? 12. You roll 5 dice in the game of YahtzeeTM and are trying to get as many 2's as you can. Use the binomial distribution of (p + q) , with p being the probability of rolling a 2, to show the separate probabilities of rolling zero through five 2's in one roll of all 5 dice