A transmission repair firm that wants to offer a lifetime warranty on its repairs has determined that

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A transmission repair firm that wants to offer a lifetime warranty on its repairs has determined that the probability density function for transmission failure after repair is f (t)=0.3e -0.3t, where t is the number of months after repair. What is the probability that a transmission chosen at random will last
(a) 3 months or less?
(b) more than 3 months?
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