Question: The probability of a transistor failing between t = a months and t = b months is given by c b a e ct

The probability of a transistor failing between t = a months and t = b months is given by c ∫^b_a e^−ct dt, for some constant c.
(a) If the probability of failure within the first six months is 10%, what is c?
(b) Given the value of c in part (a), what is the probability
the transistor fails within the second six months?

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