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Show work and answer please Problem 1 (10 points): The number of years that a radio functions is an expo- nential random variable with average

Show work and answer please

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Problem 1 (10 points): The number of years that a radio functions is an expo- nential random variable with average value 8. (a) If you buy a radio today, what is the probability that it will be functioning 10 years from now? (b) If it is still functioning two years from now, What is the conditional probability that it lasts at least an additional 7 years

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