Question

Two computer specialists are completing work orders. Incoming jobs are randomly assigned to the first specialist...

Two computer specialists are completing work orders. Incoming jobs are randomly assigned to the first specialist with probability 0.69 and to the second specialist with probability 0.31. The time it takes the first specialist to complete an order is a normal random variable with mean 5.5 hours and standard deviation 1 hour and the time it takes the second specialist is normal with mean 6.3 hours and standard deviation 1.5 hours. Please give your answers to the nearest 0.001.

Part a)

You submit an order. What's the probability it will take more than 3 hours?

Part b)

A certain order was submitted 5 hours ago and is still not ready. What is the probability that the first specialist is working on it?

Math   Statistics-And-Probability   
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