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Suppose that the lifetime (x) of certain model of car battery follows an exponential distribution with a mean life of 5 years a. What is

Suppose that the lifetime (x) of certain model of car battery follows an exponential distribution with a mean life of 5 years" a. What is the probability distribution of the life of the car battery? b. Plot the probability density function, f(x) versus the lifetime of the car battery(x)c. What is the probability that the life of the battery will be greater than 2 years? d. What is the probability that the life of the battery is greater than 2 years but less than 4 years? e. What is the var(x) ?

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