SOLUTION: The completion time of a construction project depends on whether the carpenters and plumbers working on the project will go on strike. The probabilities of delay are 5%, and 10%,

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Question 1173866: The completion time of a construction project depends on whether the carpenters and plumbers
working on the project will go on strike. The probabilities of delay are 5%, and 10%, if
carpenters alone go on strike and plumbers alone go on strike, respectively. Also, there is a 30%
chance that plumbers will strike and 20% if carpenters go on strike.
(i) Find the probability of delay occurs?
(ii) If the delay happens what is the probability that the carpenters went on strike?

Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
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(i)    P = 0.05*0.2 + 0.1*0.3 = 0.04.



(ii)   P = %280.05%2A0.2%29%2F%280.05%2A0.2+%2B+0.1%2A0.3%29 = 0.01%2F0.04 = 1%2F4 = 0.25 = 25%.

Solved.