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Statistics Questions 1. An event that is impossible has a probability of? 2. The sum of the probabilities in a probability model should add up to? 3. Suppose the probability of winning at a particular game is .52 (or 52%). Choose the correct options below: The probability of .52 means that approximately__(52%,52,100,0.52)out of every __(0.52,100,52,52%)game will result in a win. We__(will,will not) always win exactly that many times since the probability refers to the expected__(long term, short term)odds of winning. 4. Suppose that 17% of all M&Ms are red. If we randomly select a single M&M, what is the probability that it is red? (Decimal form) 5. Let the sample space S= {123456} with each outcome being equally likely to let E= “An even number bigger than 3”. (3 decimal places). Find P(E) 6. Let the sample space S= {123456} with each outcome being equally likely to let E= “An even number bigger than 3”. (3 decimal places). Find P(E,(floating c above E here) 7. A bag contains 25 marbles: 4 red, 11 blue, and 10 green. What is the probability that a randomly selected marble is blue? 8. A bag contains 25 marbles 4 red, 11 blue, and 10 green. What is the probability that a randomly selected marble is green? 9. When two events, E and F, are mutually exclusive, then the P(E and F)= 10. Suppose E and F are mutually exclusive events with P(E)=0.36 and P (F)=0.15. Find P(E or F) 11. Suppose E and F are dependent events with: P(E)=0.36, P (F)=0.15, and P (E)=0.02. Find P (Eor F) 12. Suppose you are rolling a six sided dice and event E= “A number less than 4” which of the following best describes the elements of event E(floating c above E here) a) {5.6} b) {1,2,3,4,5,6} c) {4,5,6} d) {1,2,3,4}