Unit 7 Quiz 2 Review 1 Is the distribution a valid probability distribution Write yes or no 3 Number LARGE ZADE Probability a b 1 2 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 3 Name 4 X 5 1 2 3 4 5 P X 0 11 0 25 0 4 0 13 0 31 What is the probability that a 2 or greater is shown on the loaded die 6 What is the probability that a number less than 4 is shown on the loaded die 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