Question

The life of an electric component has an exponential distribution with a mean of 8 years. What is the probability that a randomly selected one such component has a life less than 5 years? Answer: (round to 4 decimal places)

Answer 1

Answer:

The probability is 0.4647

Step-by-step explanation:

The variable X is the life of an electric component in years.

X follows a exponential distribution, it means that the probability that the life of an electric component is less than x years is calculated as:

$P(X$

Where $x\geq0$ and $\beta$ is the mean life of the electric component.

So, replacing x by 5 and $\beta$ by 8, we get that the probability that a randomly selected component has a life less than 5 years is:

$P(X$