(a) Find the constant c. (b) Find fX (x) and fY (y) (c)For0<x<1,findfY|X=x(y)andμY|X=x andσY2|X=x. (d) Find Cov(X, Y ). (e) Are X and Y independent? Explain why. 3. (50 pts) Let (X, Y) have joint pdf given by c, |y< x, 0 < x < 1, f(r,y)= 0, o.w., (a) Find the constant c (b) Find fx(x) and fy(y) and oyx (c) For 0 x 1, find fy\x= (y) and (d) Find Cov(X, Y) (e) Are X and Y independent?...
find f g h 5. Find fogoh. Х f(x) = x, g(x) = h(x) = X - 1 5a 6. Find the inverse function of f. f(x) 8x X - 3 f-1(x) = 6a
5. Find the derivative of f(x) = ln (sec(x) + tan *' (x)). 6. Find an equation of the tangent line to the curve y = x’ In(x) when x = e?
Find u if = [P(x)]. Then, find o if o2 = {[x? •P(x)] -? X L P(x) 0 0.4704 1 0.3829 2 0.1247 3 0.0203 4 5 0.00170.0000 (Simplify your answer. Round to four decimal places as needed.) (Simplify your answer. Round to four decimal places as needed.)
this is 2 questions If xsin x = 3.5, find (-x) sin(-x). Find the exact value of the expression in terms of x with the help of a reference angle.
Suppose that f(x, y) = cx, for 0 y x 2. (a) Find c. (b) Find P(x > 1 and Y < (c) Find the marginal pdf of X. (d) Find the conditional pdf of Y given that X = x. (e) Find E[Y IX x (f) Find E[E[YX]]. (g) Find Cov(X, Y) (h) Are X and Y independent? Suppose that f(x, y) = cx, for 0 y x 2. (a) Find c. (b) Find P(x > 1 and Y
Find us if u = [X•P(x)]. Then, find o if o2 = {[x? • P(x)] – 12 x 10 11 12 13 14 15 P(x) | 0.0001 0.0022 0.0244 0.1382 0.3915 0.4436 u= (Simplify your answer. Round to four decimal places as needed.) o= (Simplify your answer. Round to four decimal places as needed.)
Find u if p = [x•P(x)]. Then, find o if o2 = {[x• P(x)] –H2 X P(x) 0 0.0005 1 0.0091 2 0.0648 3 0.2297 4 0.4072 5 0.2887 (Simplify your answer. Round to four decimal places as needed.) O= (Simplify your answer. Round to four decimal places as needed.)
Assume that X~ Bin(n, p) Find the variance of X algebraically. Hint: First find E(X(X-1)) Use M () to find V(X) 1. а. b.
Tutorial Exercise Find the indicated derivative. If f(x) = x + 5, find f'(x). Step 1 We want to find f'(x) if f(x) = x + 5. We start by finding f'(x), remembering that Vx+ 5 = (x + 5) 112 v. f(x) = Submit Skip (you cannot come back)