Problem 29.1 Let X have the density function given by 0.2 -1<r<0 f(x) = 0.2 +...
The density function of X is given by + br if 0 r < 1 f(x) = 0 1 otherwise If E(X) = 3, find a and b. (Hint: Both values are integer.) a = b =
Q1. Let X and Y have joint density 0, otherwise. a. Find the marginal densities of X and Y b. Find P(0.2 < Y < 0.31X = 0.8).
(1 point) The joint probability density function of X and Y is given by f(x, y) = cx – 16 c”, - <x< 0 < b < co alt 0 < y < 0 Find c and the expected value of X: c = E(X) =
1. Let X and Y have the joint density function given by zob to todos f(x, y) = {kxy) of 50<x< 2, 0 <y<3.) i 279VHb yodmu : 1093 otherwise a) Find the value of k that makes this a probability density function. TO B 250 b) Find the marginal distribution with respect to y. 0x11 sono c) Find E[Y] d) Find V[Y]. X10 sulay boso 50
7, Let X be a continuous random variable with probability density function: 0, f x<0 150 f x> 10 ind ihe avnanted value and mode of random variable X
function Ckek osrs4 be a density 4. Let f(x)=3 otherwise Find: i) k = 24] P(-2<x<2)
Problem 2: Let Y be the density function given by f(y) = 1.5, -1<y < 0, { 1-cy, 0 <y <1 10, elsewhere. (1) Find the value of c that makes f(y) a density function. (2) Find Fy). (3) Compute Pr(-0.5 <Y <0.5) (4) Graph f(y) and F(y) in the same rectangular coordinate system. (5) Find the expected value u = E[Y]. (6) Find the variance o2 = Var(Y) and the standard deviation o of Y.
the answer should be 1/2 +x 4. Let X and Y joint density function ( 2e-2(x+y) if 0<r<y< f(x,y) = elsewhere. What is the expected value of Y, given X = x, for x > 0?
Let X and Y be random variables with joint density function f(x,y) бу 0 0 < y < x < 1 otherwise The marginal density of Y is fy(y) = 3y (1 – y), for 0 < y < 1. True False
The density of random variable X is f(x) = 5(Xº+1)(3-X) for 1<x<3 and 0 otherwise. Using the R integrate function: 68 a) Find the probability that X > 2.10 b) Find the probability that 1.5 < X < 2.5 c) Find the expected value of x d) Find the standard deviation of X e) In the following paste your R script for this problem