(1 point) 5.8 Assume that X ~ Unif[-1, 5] and let fy(y) be the probability density function of the random variable Y = X. Find fy(4). Give your answer as a fraction. Answer =
Find fx, fy, and fz 5) f(x, y, z) = ln (xy)?
- 9x2 - y2 , find fx(-9, -5) and fy(-9, -5) and interpret these numbers as slopes. If f(x, y) = 81 fx(-9, -5) = fy(-9, -5) = Need Help? Read It Watch It Talk to a Tutor Submit Answer
Find Fy and Fx Section (2) 12 in. P1 = 15 psi = 5 ftis Fy Section (1)
Consider the following functions. fy(x) = x, fz(x) = x2, f3(x) = 2x - 4x2 g(x) = C7f1(x) + c2f2(x) + c3f3(x) Solve for Cy, cy, and cz so that g(x) = 0 on the interval (-00, 00). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {C1,C2,C3}={C } Determine whether f1, f2, fz are linearly independent on the interval (-00, 0). O linearly dependent O linearly independent
Solve the following linear system of equations for the two unknowns X and y (2x + y = 1 13x - y = 9 Identify the x and y components for the forces shown below: 500N Fx = a) 4 Fy = 3 b) Fx = Fy = 30° 100 N c) 150 N Fx = Fy= 9 12
Suppose two continuous random variables X and Y have cumulative distribution functions Fx(x) and Fy(y) respectively. Suppose that Fx(x) > Fy(x) for all x. Indicate whether the following statements are TRUE or FALSE with brief explanation. (a) E(X) > E(Y) (b) The probability density functions fx, fy satisfy fx(x) > fy(x) for all x. (c) P (X = 1) > P (Y = 1)
Solve the following logarithmic equation. log 5(x + 23) = 5 - log 5(X+ 123) Solve the equation. 32-x+ 22 = 64%
As in the previous problem, a continuous random variable has density: fy(x) = ] C · X · sin(x) To if 0 < x <a otherwise. Find E(X). 3.1415 Incorrect. Remeber: to compute E(X), you need to integrate x* f_X.
Suppose X and Y are random variables such that fY (y|X = x) has a normal distribution with mean µ = x/4 and standard deviation σ = 1. a). Find a formula for E[Y|X = x]. b). Compute E[Y ].