Suppose X and Y are random variables with joint density function. So.1e-(0.5x + 0.2y) if x > 0, y = 0 f(x, y) = 10 otherwise (a) Is f a joint density function? Yes Or No (b) Find P(Y > 4). (Round your answer to four decimal places.) Find P(X = 5, Y = 7). (Round your answer to four decimal places.) (c) Find the expected value of X. Find the expected value of Y.

When you are making a circle graph by hand, how do you convert a number for a part into its corresponding angle measure in the circle graph? when you are making a circle graph by hand, what should you do if one of your angle measures is greater than 180°?

Consider the following estimates from the early 2010s of shares of income to each group. country poorest 40% next 30% richest 30% bolivia 10 25 65 chile 10 20 70 uruguay 20 30 50 1.) using the 4-point curved line drawing tool, plot the lorenz curve for bolivia. properly label your curve. 2.) using the 4-point curved line drawing tool, plot the lorenz curve for uruguay. properly label your curve.

Need asap. solve for the following inequality