In a carnival game, a player rolls two fair 6-sided dice. a) find the probability that the player gets doubles (same number twice) at the first roll
b) find the probability that the player gets doubles twice in 4 attempts
c) should the player be surprised if he gets doubles more than twice in 4 attempts? justify your answer
d) find expected value and standard deviation of the number of doubles obtained in 4 rolls. explain their conceptual meaning.

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297

Consider the triangle. which shows the order of the angles from smallest to largest? angle a, angle b, angle c angle b, angle a, angle c angle b, angle c, angle a angle c, angle a, angle b

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