that you have two hard drives where you store your work for this class (one internal and one external) and you back up the internal hard drive to a cloud service. The probability of either hard drive failing is .01 (each) and the probability of the cloud service losing your stored data is .001. What is the probability that all three fail at the same time? You may assume that all failure

that you have two hard drives where you store your work for this class (one internal and one external) and you back up the internal hard drive to a cloud service. The probability of either hard drive failing is .01 (each) and the probability of the cloud service losing your stored data is .001. What is the probability that all three fail at the same time? You may assume that all failure

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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In airline applications, failure of a component can result in catastrophe. As a result, many airline components utilize something called triple modular redundancy. This means that a critical component has two backup components that may be utilized should the initial component fail. Suppose a certain critical airline component has a probability of failure of 0.039 and the system that utilizes the component is part of a triple modular redundancy. (a) What is the probability that the system does not fail? (b) Engineers decide to the probability of failure is too high for this system. Use trial and error to determine the minimum number of components that should be included in the system to result in system that has greater than a 0.99999999 probability of not failing. (a) The probability is (Round to eight decimal places as needed.)
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Suppose that on any given day, there is a 20% chance that Lebron has a bad day, a 50% day that Lebron has a so-so day, and a 30% chance that Lebron has a good day. On a bad day, the probability that Lebron makes any given 3-point shot is 0.5. On a so-so day, the probability that Lebron makes any given 3-point shot is 0.7. On a good day, the probability that Lebron makes any given 3-point shot is 0.9. Suppose that tomorrow, Lebron takes a 3-point shot, and we record whether he hits or misses and what kind of day he was having. What is the probability that Lebron hits? What is the probability that if Lebron is having a bad day given that he misses a shot that day?
The hospital records show that 75% of patients suffered from COVID-19 dies. What is the probability that 4 out of 6 randomly selected patients will recover?