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# The Auid flow two pipes combine to form the outfall discharge factory: The concentration of pollutants in each of the Auid filled pipes are random variables and Y a...

## Question

###### The Auid flow two pipes combine to form the outfall discharge factory: The concentration of pollutants in each of the Auid filled pipes are random variables and Y and contribute to the concentration of pollutants in the outfall Z according to 2 = 0.3X + 0.7Y a) (5 pts) Find the expected value of the concentration of pollu- tants in the outfall, Z, given that the expected value of X is 10 puv (parts per unit volume) and the expected value of Y is 20 puv_ (10 pts) The two pipes are in close proxim

The Auid flow two pipes combine to form the outfall discharge factory: The concentration of pollutants in each of the Auid filled pipes are random variables and Y and contribute to the concentration of pollutants in the outfall Z according to 2 = 0.3X + 0.7Y a) (5 pts) Find the expected value of the concentration of pollu- tants in the outfall, Z, given that the expected value of X is 10 puv (parts per unit volume) and the expected value of Y is 20 puv_ (10 pts) The two pipes are in close proximity leading to the random concentrations X and being correlated with COr - relation coefficient pxY 0.5. Find the standard deviation of Z given that the standard deviations of X and are 3 and 5 respectively: (10 pts) The outfall discharge is considered contaminated if the pollutant concentration in the outfall exceeds 20 pUv. Assuming that the random variables X and Y are normally distributed, find the probability that the outfall is contaminated_  #### Similar Solved Questions

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