5. Y is a continuous random variable with pdf f(y) = (4 – y)/8, 0<y< 4. (a) Find E(Y). (b) Find E(Y2). (c) Find Var(Y).
3). Prob. 19 Given: 4)y Find the value of y( , + 3),-0 and y(0) 4. The value of y is:
Find y'. y = log7(x4 – 3x3 + 4) y' = Find y'. y = [In(x4 +7)]2 y' =
Let the random variable Y have the following probability distribution y 2 4 6 P(Y=y) 4/k 1/k 5/k find the value of k. find the moment-generating function of Y find Var(Y) using the moment generating function let W= 2Y-Y^2 +e^2*Y+7. find E(W)
4 In 2x Find the derivative of the function y= 4 + 5x · y 777
Find a solution
12. y(4) – y(3) – y" – y' – 2y = 8x5.
Create a bucket by rotating around the y axis the curve y=2ln(x−4)y=2ln(x-4) from y = 0 to y = 4. If this bucket contains a liquid with density 820 kg/m3 to a height of 3 meters, find the work required to pump liquid out of this bucket (over the top edge). Use 9.8 m/s2 for gravity
y(2) = 3 y(6) = 4
4. Consider a random variable Y with p(y) - y! a. Derive the MGF of Y given on the formula sheet. b. Use the MGF to derive the mean of Y.
Given the equation y In (x + y + 5) = 4, evaluate Assume that the equation implicitly defines y as a differentiable function of x. If F(x,y) = y In (x3 +y* + 5) – 4, then F = 0 If F(x,y) = y In (x2 +y*+5) - 4, then Fy=0