Question 6:After research and observation the number of government system hackers active each day is arandom variable with Bin(3, 0.5) distrobution. If no hackers are active the probabilty of a systemfailure is 0.15. If one hacker is active the probability of a system failure is 0.3. If two or more hackersare active the probabilty of a system failure is 0.5(i)Conclude the total probability of a system failure on a given day. (Answer to 2 decimalplaces)Assuming there is a failure, what is the probabilty that no hackers are active.. (Answerto 2 decimal places)(ii)

Introduction: Denote Denote X as the number of government system hackers active on a randomly…

Answered: Question 6: After research and…

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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After careful research you observe that the number of hackers active on each day is a random variable Bin(3,0.5) distribution. If no hackers are active, the probability of the website failure is 0.15; If one hacker is active the probability of the website failure is 0.3; if two or more hackers are active the probability of the website failure is 0.5. You conclude that the total probability of website failure on a given day is two decimal place). Assuming there is a failure, the probability no hackers are active is (to (to two decimal places).
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