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Question 1 2 pts The lifetime of a certain battery can be modeled by an exponential random variable with an expected lifetime of 5 hours.

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Question 1 2 pts The lifetime of a certain battery can be modeled by an exponential random variable with an expected lifetime of 5 hours. Find the probability that the battery will function for at least 9 hours. Give your answer accurate to three decimal places. Question 2 2 pts Asako and Bahari play the game rock-paper-scissors. Each has a strategy of choosing uniformly at random out of the three possibilities (rock, paper, and scissors) every round, independently of the other player and previous choices. In any given round, exactly one of these results will occur: Asako wins, Bahari wins, or the game is a tie. They play 20 rounds. What is the expected number of games Bahari wins? Give your answer correct to two decimal places

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