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You are studying the finances of a life insurance company. You believe that if Company X generates at least $150 million in earnings this year, they will pay a large amount of stock into a company bonus pool. If the earnings can fall anywhere from $110 million to $165 million with equal probability, what is the likelihood they will hit the bonus pool target?
Correct Answer: B
This is a continuous uniform distribution, where b = $165 million and a = $110 million. F(x) = (x - a)/ (b - a) for a x b; F(x) = 0 for x = a, and F(x) = 1 for x >= b. We are solving for 1 - F(150) = 1 - (150 - 1 10)/(165 - 110) = 1 - 40/55 = 27.3%.