Suppose that the average lifetime of a transistor is 100 working hours and that the lifetime distribution is exponential.
(a) Estimate the probability that the transistor will work at least
30 hours.
(b) Given that the transistor has functioned for 30 hours, what is
the chance that it fails in the next 25 hours.
(c) Suppose that two transistors, one in active, the other in reserve (if the primary one malfunctions, the second will be used at once). What is the chance that these two transistors remain working more than 30 hours?
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