Suppose that Y ~ Normal(0, 1). Compute E[Y³].
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Q: 11. Prove the absorption law x +xy=x using the other laws in Table 5.
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Q: Find the linearization L(x) ofy = e8# ln(x) at a = 1. L(x) =
A: We will use formula for linearization at one variable.
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Q: 5. Show that |Logz|<|In(z)|+ t, for all z # 0.
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Q: Suppose the joint probability density of X and Y is fX,Y (x, y) = 3y 2 with 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1…
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- Suppose that X is a continuous unknown all of whose values are between -3 and 3 and whose PDF, denoted f , is given by f ( x ) = c ( 9 − x^2 ) , − 3 ≤ x ≤ 3 , and where c is a positive normalizing constant. What is the variance of X?find an equation of the normal line to the curve y = x4/4 +16/x4 at (-2,5)15)- Estimate f'(4),and f"(4) using central difference formulas of order o(h?) for the data (0,1), (2,4), (4,6), (6,9)