Question

On the average, a computer experiences breakdowns every 5 months. The time until the first breakdown and the times between any two consecutive breakdowns are independent Exponential random variables. After the third breakdown, a computer requires a special maintenance.

(a) Compute the probability that a special maintenance is required within the next 9 months.

(b) Given that a special maintenance was not required during the first 12 months, what is the probability that it will not be required within the next 4 months?

Please do this without using the "Lack of Memory Property," we did not cover this in lecture. We have covered various distributions like poisson, discrete, uniform, exponential, gamma, normal, and continuous. We have also covered continuous RVs.

Answer 1