The Biology department bought a brand new spectrophotometer. This device was sol

Question

The Biology department bought a brand new spectrophotometer. This device was sold with a service contract that ensures 4 free breakdown repairs from a technician. A break down of such a device occurs, on average, three times a year. These breakdowns are inde- pendent from each other Write explicitly a model and a random variable that describes the time elapsed until the first intervention of a technician. Write explicitly a random variable describing the time for the service contract to be fulfilled What is the average time it wl take for the service contract to be fulfilled?

Explanation / Answer

1) Let the time elapsed until the first intervention be denoted by random variable T

T ~ Exponential(u)

2) Let Time of service be denoted by X

X ~ Exponential(B)

3) The average time a service contract will be fulfilled = (1/3)x4

=> 4/3 => 1.33334 year

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