You are supplying overhead electrical power to a rural water treatment plant in

Question

You are supplying overhead electrical power to a rural water treatment plant in a remote mountain village. The overhead electrical power grid supplying the plant has a probability of 0.75 for continuous service. As a precaution, you have managed to secure a diesel generator for emergency use when the power goes down. Obtaining generator parts is difficult, so the generator only has a probability of 0.68 of providing reliable service as well. Since only one 4. of the electrical supply systems has to function for the water plant to operate, what is the probability that the water plant can operate? (10 points) 5. In an ASCE student completion for bridge design for (14) schools, how many ways can the racers finish first, second, third, and fourth? (10 points)

Explanation / Answer

Probability that water plant can operate = P( overhead electrical power grid works OR generator works)

P( overhead electrical power grid works OR generator works) = 0.75 + 0.68 - (0.75*0.68) = 0.92

P( A or B) = P(A) +P(B) -P(A and B)

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