# Question: The time that it takes to service a car is

The time that it takes to service a car is an exponential random variable with rate 1.

(a) If A. J. brings his car in at time 0 and M. J. brings her car in at time t, what is the probability that M. J.’s car is ready before A. J.’s car? (Assume that service times are independent and service begins upon arrival of the car.)

(b) If both cars are brought in at time 0, with work starting on M. J.’s car only when A. J.’s car has been completely serviced, what is the probability that M. J.’s car is ready before time 2?

(a) If A. J. brings his car in at time 0 and M. J. brings her car in at time t, what is the probability that M. J.’s car is ready before A. J.’s car? (Assume that service times are independent and service begins upon arrival of the car.)

(b) If both cars are brought in at time 0, with work starting on M. J.’s car only when A. J.’s car has been completely serviced, what is the probability that M. J.’s car is ready before time 2?

## Answer to relevant Questions

The gross weekly sales at a certain restaurant is a normal random variable with mean $2200 and standard deviation $230. What is the probability that (a) The total gross sales over the next 2 weeks exceeds $5000; (b) Weekly ...The monthly worldwide average number of airplane crashes of commercial airlines is 2.2. What is the probability that there will be (a) More than 2 such accidents in the next month? (b) More than 4 such accidents in the next ...An insurance company supposes that each person has an accident parameter and that the yearly number of accidents of someone whose accident parameter is λ is Poisson distributed with mean λ. They also suppose that the ...If U is uniform on (0, 2π) and Z, independent of U, is exponential with rate 1, show directly (without using the results of Example 7b) that X and Y defined by X = √2ZcosU Y = √2ZsinU are independent standard normal ...The lifetimes of batteries are independent exponential random variables, each having parameter λ. A flashlight needs 2 batteries to work. If one has a flashlight and a stockpile of n batteries, what is the distribution of ...Post your question