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QUESTION 4 If you roll a fair 6-sided die 5 times, what is the probability that none of the rolls are 1's or 2's? QUESTION

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QUESTION 4 If you roll a fair 6-sided die 5 times, what is the probability that none of the rolls are 1's or 2's? QUESTION 5 It costs $8 to place a bet on a horse race. Suppose that there are 15 horses in the race, and that each race outcome is equally likely. If your horse wins win $34, if your horse wins second place you win $11, and if your horse wins third place you win $4. If your horse does not place in the top 3, you do not What is the expected return on your bet? QUESTION 6 Use the probability distribution of the random variable X that is given in the following table to find Var(X). X -2 -1 0 1 2 P(X =X) 0.19 0.23 0.19 0.19 ? QUESTION 7 find P(7> -1.70)

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