Please help with Q3,4,5 and provide steps. Will rate.
thank you
Please help with Q3,4,5 and provide steps. Will rate. Q3 (2 points): Suppose that X takes...
Please show the steps and the answers Suppose (X, Y) takes values on the unit square [0, 1] x [0, 1) with joint pdf f(x,y)- 3. (x2 + Y2). a) Find the marginal probability density function fx(x) and use it to find P(X < 0.5). b) Find the joint distribution function.
please do 9,13,17 only 8. What is the procedure for locating absolute maximum and mi mum values on a closed bounded domain? Basic Skills 9-18. Critical points Find all critical points of the following functions. 9. f(x, y) = 1 + x² + y2 10. f(x, y) = x² - 6x + y² + 8y 11. f(x, y) = (3x – 2)2 + (y – 4)2 12. f(x, y) = 3x2 – 4y2 13. f(x, y) = x4 + y4...
Please help me to solve this probability problem. 2. Consider a random variable X with the following PDF f(x) f(x) = for 0s x<1 x, 2-x for 1s XS2 otherwise (a) Consider 6 independent random variables X, X2, X3, X4, X5, Xs with the PDF f(x) given above. What will be the PDF of Y= (X1+X2+ X3+ X4+ Xs* X6) approximately? Explain it. (b) Compute the probability of Y>8.
Q5. Suppose the joint pdf of X, Y is given by f(x, y) zy/3 if 0 s S1 and 0 sy< 2 and f(x,y) elsewhere. a. Compute P(X+Y2 1). b. What is the probability that (X, Y) E A where A is the region bounded above by the parabola y 2 c. What is the probability that both X, Y exceeding 0.5? d. What is the probability X will take on values that are at least 0.2 units less than...
Q5(3). Suppose there is random variable X, whose PDF is (10 points, 2 for each): 1x-2)2 a) What is the name of the distribution of X b) E(2X+1)- c) Var(2X +1)- d) Find the constant x such that P(X > x) = 0.05 e) What is the distribution of 2X?
Q3. Suppose that X, Y have joint pdf a for x2 + y2 0 otherwise. 1. fxy(x, y)- (a) Find the value of a so that fxy(x, y) is a valid pdf. b) Find the marginal pdf for X Hint: It is helpful to sketch the region of the ry-plane where the pdf is non-zero
Q3(a) Let W be the region above the sphere x2 + y2 + z2 = 6 and below the paraboloid z = 4 - x2 - y2 as shown in Figure Q5(a) below: Z=4-x-y? x2 + y + z = 6 Figure Q3(a) (i) Find the equation of the projection of Won the xy-plane. (ii) Compute the volume of W using polar coordinates. [16 marks] (b) Using double integral in polar coordinates, compute the following: $$*** (2x+3y) dedy [7 marks]...
i need help with 3 , 4 and 5 please ... 3.2 The Derivative as a function Q1-Q5. Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. Q1. f(x) = x - Q2. f(t) = 5t - 9t? Q3. f(x) = x3 - 3x + 5 Q4. g(x) = V1 + 2x Q5. G(t) =* 1+1
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
Please answer both. . Suppose that Y is a random variable with distribution function below. 1-e-v/2, 0, y > 0; otherwise F(y) = (a) Find the probability density function (pdf) f(y) of Y. yso (b) E(Y) and Var(Y) 5. Suppose X is a random variable with E(X) 5 and Var(X)-2. What is E(X)?