1. Given f(x) = kx(9 - x2)4 0<x<3, otherwise a) Find k. f(x) 20 a pdf pro b) Calculate F(x) and the three q...
Given f(x) k(1 + x2) 2. -1 < x< 2 a) Find k. b) Calculate F(x) and the three quartiles. c) Calculate E(X), Var(X)
Consider the following PDF for a continus random variable f(x) X: 0 x<0,4 Calculate K Calculate P0, 1<x<0,3) Calculate P(X <= 0,2) Calculate E(X) Calculate Var(X) 3,75-Kx®2]
Show all work! Thank you! kxk-1 4.34 Given the pdf for X is f(x)= 10 0<x<1 otherwise determine E[X] and Var[X]. 1 0<x<1 4.35 Given the pdf for X is f(x)=x. determine E[X] and Var[X]. 10 otherwise' Sections 4.5-4.8 A<x<B 4.36 Given a random variable with pdf f(x)= B-A , determine the MGF for this random variable. 10 otherwise so x50 4.37 Given a random variable with pdf f(x)= betx 0<x , determine the MGF for this random variable. '...
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).
8. A probability density function (PDF) is given by: f(x)-k(8x-x2) for 0cx<8 What value of 'k' will make this a PDF? 9. A probability density function (PDF) is given by: f(x)-e.( 4) for x>a What value of a will make this a PDF? 10. A probability density function (PDF) is given by: f(x)-1.5x2 for -acx<a What value of a will make this a PDF?
Consider the following pdf: ; 0<x<1 f(x)-2k ; l<x<2 0 otherwise (i)Determine the value of k. (ii) Find P(X 0.3) (iii) Find (0.1 〈 X 1.5).
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.
9. Let a random variable X follow the distribution with pdf f(z)=(0 otherwise (a) Find the moment generating function for X (b) Use the moment generating function to find E(X) and Var(X)
Consider the following PMF for a continus random variable f(x) = 0,25-Kx®2 Calculate K Calculate P(3<x<5) Calculate P(X <= 4) Calculate E(X) Calculate Var(X)
1. Consider the following function: 4x 0<x<0.5 f(x)= 4- kx 0.5 <x<1 0 Otherwise a) (5%) Determine k such that f(x) is a probability density function. b) (6%) Determine CDF of x. c) (4%) Using CDE, what is the p(x 0.75) d) (4%) Using CDE what is p(x<0.6) e) (4%) Determine E(x) Type here to search o TT