wo computer specialists are completing work orders. Incoming jobs are randomly assigned to the first pecialist with probability 0.61 and to the second specialist with probability 0.39. The time it takes the fi pecialist to complete an order is a normal random variable with mean 4.6 hours and standard deviatior our and the time it takes the second specialist is normal with mean 5.6 hours and standard deviation 1 ours. Please give your answers to the nearest 0.001. Part a) ou submit an order. What's the probability it will take more than 3 hours? Part b) certain order was submitted 5 hours ago and is still not ready. What is the probability that the first pecialist is working on it?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Two computer specialists are completing work orders. Incoming jobs are randomly assigned to the first
specialist with probability 0.61 and to the second specialist with probability 0.39. The time it takes the first
specialist to complete an order is a normal random variable with mean 4.6 hours and standard deviation 1
hour and the time it takes the second specialist is normal with mean 5.6 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?
Transcribed Image Text:Two computer specialists are completing work orders. Incoming jobs are randomly assigned to the first specialist with probability 0.61 and to the second specialist with probability 0.39. The time it takes the first specialist to complete an order is a normal random variable with mean 4.6 hours and standard deviation 1 hour and the time it takes the second specialist is normal with mean 5.6 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?
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