Answer the following questions for the random variables X and Y that have a bivariate normal distribution and whose joint density function is f(x, y) as shown below. The joint density function has not been completely simplified or presented as a piecewise function for this question f(x, y): = e 2 21 580 (2²2-10) ² -1.28 (*2-10) (-3³) + (²] 2.4 2.4 1.3 1.3 6.247√0.5904 -3.8580 a. What is the marginal density function for the random variable X? Leave your answer as a piecewise function. b. The random variable X has a c. The distribution for the random variable X has a mean of distribution. with a

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