. QUESTION: Find the probability that none of the three bulbs in a set of traffic lights will have to be replaced during the first 1200 hours of operation if the lifetime X of a bulb (in thousands of hours) is a random variable with probability density function f(x) 6(0.25- (r-1.5) ) when 1cas2 and f(x) = 0 otherwise. You should assume that the lifetimes of different bulbs are independent.

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