A transmitter has an exponential life distribution with a failure rate of (alpha=0.00025) failures per hour. (a)

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A transmitter has an exponential life distribution with a failure rate of \(\alpha=0.00025\) failures per hour.

(a) What is the probability that the transmitter will fail during the first 400 hours it is in operation?

(b) What is the probability that three such transmitters will all survive the first 200 hours of operation?

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