Let the joint p.m.f. of X and Y be defined by 3x + y 45 f(x, y) = x = 1,2,3 y = 1,2 a) Find fx(r), the marginal p.m.f. of X, and fy(y), the marginal p.m.f. of Y. b) Are X and Y independent? Please explain your reasoning. c) Find P(X + Y <4).

Q: Let F = (y – x, ry) and let C be the line segment from (2, –3) to (1, –1). %3D Evaluate F. dr.

A: We wil first equation of parametric equation of line segment

Q: Help

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A: We have find correct option

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Q: 3. Let R= {(x, y) : x² + y² 0, y > 0}. Evaluate // Vz? + y² dA x2 +y? dA R

A: using polar coordinates x=rcos(θ)y=rsin(θ)x2+y2=r2,dA=r drdθ