7-36. The distribution of length of operating life before the first malfunction of a certain electrical component

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7-36. The distribution of length of operating life before the first malfunction of a certain electrical component is exponential with E(X) = 350 hours. What is the form of X’s probability density function and cumulative distribution function? What is the probability that the component will operate effectively less than 300 hours? More than 400 hours? Between 310 hours and 375 hours?

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