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Question #2 [4 marks] Consider the system below where component 1 is said to be connected in parallel with components 2 and 3 (while 2
Question #2 [4 marks] Consider the system below where component 1 is said to be connected in parallel with components 2 and 3 (while 2 and 3 are said to be connected in series). The system will only function properly if either component 1 works (W1) and/or components 2 and 3 work (W2 and W3), respectively. Suppose that the components function independently and P(W1) = 0.6, P(W2) = 0.85, and P(W3) = 0.9. a. Determine P(W1 0 W2 (1 W3) (i.e. the probability that components 1, 2, and 3 all work). Be sure to show all steps/formulas used in your calculation. b. Determine the probability that the system functions properly. Be sure to show all steps/formulas used in your calculation
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