A policyholder has a two-year auto insurance for his new car. Let X be the number of accidents th...
A policyholder has a two-year auto insurance for his new car.
Let X be the number of accidents that the policyholder experiences in one year.
You are given:
- Pr[X = 0] = 0.9
- Pr[X = 1] = 0.08
- Pr[X = 2] = 0.02
The number of accidents that the policyholder experiences in each year is independent.
Given that the policyholder experiences exactly 2 accidents in two years, find the probability that the policyholder experiences at least one accident in each of the two years.
Homework Answers
Given that the total number of accidents in 2 years is 2. This can happen in three ways: 0 accident in 1st year and 2 accidents in 2nd year, 2 accidents in 1st year and 0 accidents in second year, 1 accident in each year.
Hence,
P(Atleast one accident in each year | Total 2 accidents)
= P(1 Accident in each year | Total 2 accidents)
= 8/53
= 0.1509
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