Suppose that the useful life of a particular car battery, measured in months, decays with parameter 0.025. We are interested in the life of the battery. Find the probability that a car battery lasts more than 36 months.

The probability that a car battery lasts more than 36 months is 0.4066.

Step-by-step explanation:

Let X = the useful life of a particular car battery.

The decay parameter is, λ = 0.025.

The random variable X follows an Exponential distribution with parameter λ = 0.025.

The probability density function of X is:

Compute the probability that a car battery lasts more than 36 months as follows:

Thus, the probability that a car battery lasts more than 36 months is 0.4066.

the answer would be 484

step-by-step explanation:

just multiply 0.484 times 1,000 (formula)

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step-by-step explanation: