Alex purchased a laptop computer at Joes Discount Store He a

Alex purchased a laptop computer at Joe\'s Discount Store. He also purchased \"Lucky 7\" warranty plan that would replace the laptop at no cost if it needs 7 or more repairs in 3 years. Suppose the laptop requires repairs according to a Poisson process with an average rate of one repair per 6 month.

Find the probability that the seventh time the laptop needs repair will be during the late 6 month of the warranty period.

Solution

Laptop repairs follow a Poisson with mean per month =6

the probability that the seventh time the laptop needs repair will be during the late 6 month of the warranty period.

= P(x=6 in first 6 months and P7th in the last 6th month)

= 3.606x10^-9