Consider this full joint probability distribution involving four Boolean-valued random variables (answer the next five q

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Consider This Full Joint Probability Distribution Involving Four Boolean Valued Random Variables Answer The Next Five Q 1 (58.24 KiB) Viewed 45 times

Consider this full joint probability distribution involving four Boolean-valued random variables (answer the next five questions): A B C D Prob FF FF 0.10 FFFT 0.01 FFTF 0.05 8 FFTT 0.15 FTFF 0.02 FTFT 0.03 N FTTF0.04 FTTT0.05 10 TFFF 0.20 11 TFFT 0.01 12 TFTF0.01 13 TFTT0.03 14 TTFF 0.02 TTFT 0.04 15 TTTF 0.08 16 17 IIII? 19. Compute P(A= true and B = true and C true and D true). A. 0.84 B. 0.33 20. Compute P(A F. 0.20 C. 0.16 E. 0.824 D. 0.56 false B= true and C= true and D= false). C. 0.44 D. 0.33 E. 0.66 F. 0.77 21. Compute P(B= false | A= false and D = true). A. 0.55 B. 0.22 B. 0.22 C. 0.44 D. 0.33 E. 0.66 F. 0.77 A. 0.55 22. Compute P(B= false). A. 0.56 B. 0.26 C. 0.46 D. 0.36 E. 0.66 F. 0.76 false or B= true | C= true or D= true). D. 0.66 E. 0.61 F. 0.92 C. 0.33 23. Compute P(A A. 0.55 B. 0.25 For the following, answer the next two questions. Define the following two variables about people: wh washes hands regularly; cc = caught cold. Assume we know from experience that: 0.10 P(wh) = 0.75, P(cc) = 0.25, P(cc | wh) 24. What's P(cc|wh)? A. 0.2 B. 0.3 C. 0.4 D. 0.5 E. 0.6 F. 0.7 25. Given you find out someone has a cold, what's the probability they regularly wash their hands? A. 0.2 B. 0.3 C. 0.4 D. 0.5 E. 0.6 F. 0.7 Page 4 7