You have a built a deep learning workstation. This PC is made of expensive components. The components have a failure rate over 3 years summarized in the table below: Component Failure Probability Number Power Supply 0.03 1 Motherboard 0.05 1 CPU 0.01 1 GPU 0.02 2 The computer fails and you are unable to do deep learning research if the power supply, motherboard, or CPU fails. It's nice having 2 GPUs, but you only need one working to do your research. Assume all other unmentioned components will not fail. What is the probability you have no interruptions to your research over 3 years?

You have a built a deep learning workstation. This PC is made of expensive components. The components have a failure rate over 3 years summarized in the table below: Component Failure Probability Number Power Supply 0.03 1 Motherboard 0.05 1 CPU 0.01 1 GPU 0.02 2 The computer fails and you are unable to do deep learning research if the power supply, motherboard, or CPU fails. It's nice having 2 GPUs, but you only need one working to do your research. Assume all other unmentioned components will not fail. What is the probability you have no interruptions to your research over 3 years?

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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Let's consider a supermarket with three cash registers. The operation of the cash registers is checked daily, and if a register is found to be faulty, it is sent to the workshop for repairs. The probability of a working cash register breaking down is 1/5, and the probability of a cash register undergoing repair becoming operational is 3/5. The processes of breakdown and repair of cash registers are independent of each other. 1. (25 pts) Model this problem using a discrete time Markov chain. Present the transition probability matrix. 2. (15 pts) What is the long-run proportion of days when none of the cash registers are operational?
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A 1 Program Per-Year Tuition ($) 62486 68484 67888 HN34567000 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 67050 67792 66183 66648 69860 64013 63704 66855 62839 60049 57895 55895 53947 54645 53374 52975 49195 44629 47459 48355 47415 38386 48726 48050 51251 37376 32404 44246 40984 49238 33366 23635 41729 38862 B Mean Starting Salary Upon Graduation ($) 155737 154423 149313 143503 140925 153696 147799 149794 134756 147521 142518 143619 141792 138082 125249 114639 127846 127392 130064 123958 115916 111221 110846 106083 79315 79529 103321 74754 86946 72656 76078 53979 63709 102611 53719 81335 51657 U D E F G
state the degrees of freedom if necessary
I have attached the picture for review. Please answer section A, B, C.
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