Question

The marker on your new car indicates that you have already run the first 3,000 miles,...

The marker on your new car indicates that you have already run the first 3,000 miles, at which point the manufacturer recommends a general overhaul. You take your car to a recognized garage and request a review. Upon arrival in the garage there are 8 mechanics available, two of which are new. For a new mechanic, the time it takes to perform the overhaul is a random variable that follows a normal distribution with an expected value of 1 hour and a standard deviation of 5 minutes. For an experienced mechanic, the time to perform the overhaul follows an exponential distribution with an expected value of 40 minutes.

If your car will be randomly assigned to any of the available mechanics,

to. What is the probability that your car is ready in less than 1 hour?

b. If your car is ready in less than an hour, what is the probability that it was serviced by an experienced mechanic?

Math   Statistics-And-Probability   
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