4. An electronic chess has a useful life that is exponential with a mean of 35 months. Determine each of the following: a) The probability that any given unit will operate at least 45 months b) The probability that any given unit will fail sooner than 30 months

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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4. An electronic chess has a useful life that is exponential with a mean of 35 months. Determine each of
the following:
a) The probability that any given unit will operate at least 45 months
b) The probability that any given unit will fail sooner than 30 months
Transcribed Image Text:4. An electronic chess has a useful life that is exponential with a mean of 35 months. Determine each of the following: a) The probability that any given unit will operate at least 45 months b) The probability that any given unit will fail sooner than 30 months
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X~ exponential(λ)

Mean E[x] = 1λ

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