Find f(x) if fx)= sec x-2e and f(0) 0 2 Find f(x) if fx)= sec x-2e...
3 Let X be a continuous random variable with values in [0, 00) and density fx. Find the moment generating functions for X if (a) fx(x)-2e-2 (c) fx (r) = 4ze_2x 4 For each of the densities in Exercise 3, calculate the first and second moments μι and μ2, directly from their definition and verify that g(0)-1, g'(0) and g"(0) 142 3 Let X be a continuous random variable with values in [0, 00) and density fx. Find the moment...
a) If f(0) = 5sec° 0 – sec°O + sec e Find: f'(0) b) If f(x)= xe * + In 8x3 +In( cos x) -2x e Find: f'O
Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx) e f'(x) e) ffx) -sinx cos2x f(x)- 2. Find the equation of the tangent line to yasinx at x-0. 3. Find the points where the tangent line to the function fix)-2x+3x2-12x+4 is horizontal. Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx) e f'(x) e) ffx) -sinx cos2x f(x)- 2. Find the equation of the tangent line...
Therandomvariables X andY haveajointPDFgivenby {2e−2x fX,Y (x,y) = ComputeCov(X,Y). x , 0≤x<∞,0≤y≤x, 0, otherwise. Therandom variables X andY have a joint PDF given by {fX,Y (x,y) =2e−2x /x 0≤x<∞,0≤y≤x, 0, otherwise. ComputeCov(X,Y). ,
Suppose X has density f(x) = 2e-2x, 0, find E(X). x
For f(x) = sec (x) -tan?(x), find fľ(1). O AT OBI 0 0 Ele 0 0
f(x + h)-f(x) Find the difference quotient of f, that is, find , h # 0, for the following function Be sure to simplify fx)-x2-3x+1 f(x+ h)-fx)
5. Let fx(x) be a pdf given by fx(x) = (1/8)(e^(-x/8)) for x > 0. a) Find the CDF FX(x). b) Find P(X > 4) c) Find P(-2 ≤ X ≤ 12) d) Find P(X < 240) e) Find E(X) f) Find the standard deviation of X.
15. Let fx (x) = e", x > 0 . Let Y = (X-If . Find f,V).
Find values of x and y such that both fx(x,y) = 0 and fy(x,y) = 0. f(x,y) = x² + xy + y2 - 3x +2 A. X=2, y= -1 OB. X = -2, y=1 O c. 1 x= 1, y = 2 OD. x= 0, y = 0