5. Suppose that E[X] = 2 and Var(X) = 6. (a) Compute E[(X + 1)²]. (b) Compute Var(4 + 3X). (c) Compute Var(4 - 3X).
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- In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.98x2.1for one year to y = 0.32x2 + 0.68x for the next year. Find the Gini coefficient of income for both years. (Round your answers to three decimal places.) after beforeFind the critical numbers of the function g(x) = (x − 16)find the value of a so that the function f(x)=xeax has a critical point at x=6
- Express the solution of the given IVP in terms of a convolution where g(t) is an arbitrary function.If the above graph is the graph of f′(x), then f(x) has a local maximum at x=___, a local minimum at x=____ and a critical point that is neither a local maximum nor a local minimum at x=____Find the minimum of the function f(x) = (X/log X) by using the quadratic-interpolation method with an initial trial step length as 0.1