Two small rivers A and B meet and become a larger river C. For a new housing project, the flood level, defined as the water level above the mean level of river C, is under consideration. Past records indicate that a 1-ft change in the water level of river A causes a 0.5-ft change in the water level of river C, and a 1-ft change in the water level of river B causes a 0.25-ft change in the water level of river C. The flood levels of rivers A and B can be estimated precisely. However, they are equally likely to be 0, 1, 2, and 3 ft for both rivers. Assuming statistical independence of flood levels between rivers A and B, what is the probability that the flood level of river C will exceed 1.75 Ft?

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The change in level of C due to A with the required probabilities is ... View the full answer