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A machine that requires annual safety checks is reaching the end of its useful life. Let A be the event the machine is safe and B be the event the inspector issues a safety certificate. If P(A)- 0.85, P(B)= 0.8 and P(A n B)= 0.12 determine: (a) P(AnB) (b) P((AnB)U(An B)) (c) The probability that the inspector issues a safety certificate, given that the machine is unsafe. A 1 1 Total A A Total Answers | -| | B | 0.77 | 0.03 | 0.8 | (a) 0.77 Total 088 0.12t0.2 0.8 (b) 0.77+0.12-0.89 0.12 (c) P(BIA)- Total 0.85 Total 0.85 0.15 1 0.03/0.15-0.2 61 Probability Table
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トToto) 0.03 | 0。8 B10件千 0 08 0 2 6 Tela 0.85 Is ca, plan B):10.44. (a n8) 0.03-10,2 0 15 ( A

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