Question 3

The average lifespan for a certain type of vehicle is 8 years and follows an exponential distribution. A lot contains 200

of these vehicles, brand new.

1. How many of the 200 would you expect to fail in their first 2 years?

2. What is the approximate probability that 50 or more of them fail in their first 2 years?

3. If you have learned that 30 vehicles have already failed in under 2 years, What is the approximate probability

that no more than 10 of the rest of them fail in their first 2 years?