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 (91.24 KiB) Viewed 37 times

Consider this full joint probability distribution involving four Boolean-valued random variables (answer the next five questions): A B C D Prob 1 FF FF 0.10 FF FT 0.01 FFT F 0.05 FFT T 0.15 FTFF 0.02 FT FT 0.03 FT T F 0.04 FTTT 0.05 TFF F 0.20 TFFT 0.01 11 TFT F 0.01 12 TFTT0.03 13 14 TTFF 0.02 15 TT FT 0.04 16 TTTF 0.08 17 T T T T ? 7. Compute P(A = true and B = true and C = true and D = true). D. 0.56 E. 0.824 F. 0.20 A. 0.84 B. 0.33 C. 0.16 = true and D = false). 8. Compute P(A = false | B = true and C D. 0.33 E. 0.66 F. 0.77 C. 0.44 A. 0.55 B. 0.22 9. Compute P(B = false | A = false and D = true). A. 0.55 B. 0.22 C. 0.44 D. 0.33 E. 0.66 F. 0.77 10. Compute P(B = false). A. 0.56 B. 0.26 C. 0.46 D. 0.36 E. 0.66 F. 0.76 11. Compute P(A = false or B = true | C = true or D = true). A. 0.55 B. 0.25 C. 0.33 D. 0.66 E. 0.61 F. 0.92 2 3 4 5 6 7 8 9 10