Let us try using the following bivariate function to describe the presence of sneeze particles from a person's mouth (distance units are in feet)." f (x, y) = kye¬#v, т > 0, 0<у < 5 (a) Find the value of k so that f is a probability density function. (b) Mindful of social distancing, compute the proportion of sneeze particles that exceed x = 6 feet in horizontal distance. (c) Compute the standard deviation of Y.

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