
(0. mswered of 1.00 t<1; Suppose FX(t) = 3 (t+1), <1<t< 3; (1, t>3. Find E[X]...
Suppose that X has CDF
Exercise 24.22. Suppose that X has CDF 0 If x < 0, İf 0 < x < 1, İf 1 < x < 7, a. Find the density fx(a) b. Find the median of X
1 x Suppose X has an exponential distribution, thus its pdf is given by fx (x) = 5e8,0 5x<0, 2> 0;0 0.w. a. Find E(X) b. Find E(X(X-1) c. Find Var (x)
Question 30 x Incorrect. Suppose that T (X) e for 0 < x. Determine the cumulative distribution function. Find the value of the cumulative distribution function at * 0.55 Round your answer to 3 decimal places, 1.492 the absolute tolerance is +/-0.001
Consider fx (x)=e*, 0<x and joint probability density function fx (x, y) = e) for 0<x<y. Determine the following: (a) Conditional probability distribution of Y given X =1. (b) ECY X = 1) = (c) P(Y <2 X = 1) = (d) Conditional probability distribution of X given Y = 4.
Suppose X is a continuous random variable having pdf (1+x, -1 < x < 0, f(x) = { 1 – x, 0 < x <1, lo, otherwise (a) Find E(X2). (b) Find Var(X2).
3. (20pts.) Find the Fourier series of the function given 0- <x<0 x. 0<x<
3. Let X has the following pdf: {. -1 <1 fx(a) otherwise 1. Find the pdf of U X2. 2. Find the pdf of W X
The random variable X has CDF 0 x<-1, 0.2 -1s<O, 0.7 OS<1, 1 21. Fx () (a) Draw a graph of the CDF. (b) Write Px(x), the PMF of X. Be sure to write the value of all a from -oo to oo.
2.6.9 Let X have density function fx(x) = x/4 for 0 < x < 2, otherwise fx(x)=0. (a) Let Y = X. Compute the density function fy(y) for Y. (b) Let Z = X. Compute the density function fz(z) for Z.
4. Suppose X and Y have the joint pdf f(x,y) = 6x, 0 < x < y < 1, and zero otherwise. (a) Find fx(x). (b) Find fy(y). (c) Find Corr(X,Y). (d) Find fy x(y|x). (e) Find E(Y|X). (f) Find Var(Y). (g) Find Var(E(Y|X)). (h) Find E (Var(Y|X)]. (i) Find the pdf of Y - X.