# The time to failure of a certain type fo electrical component is assumed to follow an exponential distribution with a mean of 4 years. The manufacturer replaces free all components that fail while under guarantee.What percentage of components will fail in 1 year?

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The time to failure of a certain type fo electrical component is assumed to follow an exponential distribution with a mean of 4 years. The manufacturer replaces free all components that fail while under guarantee.

What percentage of components will fail in 1 year?

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Step 1

From the provided information, the time to failure of a certain type of electrical component is assumed to follow an exponential distribution with a mean of 4 years.

That is,

Step 2

Let x be a random variable which represents the number of years under which component will fail.

The probability distribution function of exponential distribution can be written as:

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