Supplementary Problems Ch1 24 Ch2 20

# Introduction to Probability, 2nd Edition

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Problem 24 In order for the jury to reach a wrong decision, at least 4 jurors must reach the wrong decision. This is a binomial distribution so the total probability is: An example of one of the calculations, for x=4 So the total probability equals

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Problem 20 Let I be the event that your virus detection software says you are infected and V be the event that you have a virus. We are given:
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Unformatted text preview: P(V)=0.65 P(V c )=0.35 P(I |V)=0.8 P(I c | V)=0.2 P(I c | V c )=0.9 P(I |V c )=0.1 To find the probability that you have a virus given that one of your programs says your are infected, I used Bayes’ rule: You want at least 9 of the 12 programs to agree, so this is a binomial distribution where I ≥ 9: An example calculation, where I = 9: So the total probability is:...
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Supplementary Problems Ch1 24 Ch2 20 - P(V)=0.65 P(V...

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