Let X be a continuous random variables with with the following probability density function. I 0
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- Verify that p(x) = 3x−4 is a probability density function on [1,∞) and calculate its mean value.Find the value of k that makes the given function a probability density function on the specified interval.f(x) = kx, 1 ≤ x ≤ 3Find the value of k that makes the given function a probability density function on the specified interval.f(x) = kx2, 0 ≤ x ≤ 2
- Find the constant C such that p is a probability density function on the given interval and compute the probaility P(X< 2)Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) = kx3; [2, 4]The random variable X has the following probability density function:fX(x)=1/2*e−|x| ,−∞<x<∞ Find E(X) and Var(X)
- Determine the covariance for the joint probability density function fxy(x,y) = c*x*y over the range 0 < x < 10 and 0 < y < xSuppose that the unknown X is ≥ 2 and has the probability density function fX(x)=Ce^−x,x ≥ 2.What is the numerical value of C?Given the joint probability density function f(x) =(x^2y)/18 for 0<x<3 and 0<y<2, determine P(1<y<2.5). Round off 2 decimal places ANSWER ASAP PLS
- The random variables X and Y have the following joint probability density function:f(x,y)={e−x−y , 0<x<∞; 0, elsewhere. What is Cov(X,Y)(X,Y)?Find the conditional expectation E(Y/X=0.47) if the joint probability density function of the random variable X and Y isf(x, y) = 1/x, 0 < y ≤ x ≤ 1.Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) = kx; [2, 3]