Unit 7 Quiz 2 Review 1. Is the distribution a valid probability distribution? Write yes or no. Name: x P(X) 1 0.11 2 0.25 3 0.4 4 0.13 5 0.31 A die is loaded in such a way that the probabilities of getting 1, 2, 3, 4, 5, and 6 are 1/12, 1/6, 1/3, '6, 1/12, and 1/6 respectively. Fill in the probability distribution. Number 1 2 3 4 5 6 Probability a. What is the probability that a 2 or greater is shown on the loaded die? b. What is the probability that a number less than 4 is shown on the loaded die? 3. 4. You roll a 12 sided die with numbers 1-12. What is the probability of rolling an odd number? You roll a 12 sided die with numbers 1-12. What is the probability of rolling a number no more than ? 6. You roll a 12 sided die with numbers 1-12. What is the probability of rolling a number greater than 2? Unit 7 Quiz 2 Review Name: 7. A player tosses two coins into the air. He wins 1 dollar for the number of heads he will get. However, he will lose 5 dollars if neither coin is a head. Calculate the expected value of this game and determine whether it is favorable for the player. 8. You are at the fair playing a game where a ball is randomly hidden under one of 3 cups. It costs $4 to play. If you choose the cup with the ball under it, you win back your money plus an additional $5. What is the expected value of this game? 9. Sandra is playing a game. There are 8 marbles in a bag, 1 purple and 7 orange. If she chooses the purple marble, she will win $40. If she chooses the orange marble, she will win $4. What is the expected value of Sandra's winnings from the game? 10. An agent sells life insurance policies to six equally aged, healthy people. According to recent data, the probability of a person living in these conditions for 30 years or more is 70%. Is this a binomial experiment? List all reasons why it is.