Insurance. Based on past experience, an insurance company expects its automobile policyholders to have 0, 1, or 2 accidents per year with probabilities indicated in the table. Number of accidents Probability 0.7 0.2 2 0,1 The company also has a large number of motorcycle policyholders, and expects them to have a total of 60 motorcycle accidents per year, with a standard deviation of 5 accidents. What is the probability that the company will face more motorcycle accidents than auto accidents this year? Hint: at some point the Central Limit Theorem is to be used.

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