The life of a light bulb is exponentially distributed with a mean of 1,000 hours. What is the probability that the bulb will last more than 1,200 hours?

The probability that the bulb will last more than 1,200 hours  is 0.3012

Step-by-step explanation:

Let the random variable X = life of a light bulb .

The random variable

The probability distribution function of exponential distribution is:

The mean of the distribution is, Mean = 1000 hours.

The value of λ is:

Compute the probability that the bulb will last more than 1,200 hours as follows:

Thus, the probability that the bulb will last more than 1,200 hours  is 0.3012.

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