Find the probability that a randomly chosen transistor

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The lifetime of transistors in an electronic equipment is exponentially distributed with mean of 5 months.

(a) Find the probability that a randomly chosen transistor will last longer than 6 months.

(b) If a transistor has been operating for 5 months, what is the probability that it will last an additional 4 months?

(c) Find the median lifetime of these transistors? Hint: Median implies, set CDF = 0.5 and find x.

(d) If an equipment contains 10 transistors that operate independently, what is the probability that at least 3 of these transistors will last longer than 6 months?

Reference no: EM132201135

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