(1 point) 5.8 Assume that X ~ Unif[-1, 5] and let fy(y) be the probability density...
Suppose that U~Unif[0,1]. Let . Find the probability density function of Y.
WILL THUMBS UP IF DONE NEATLY AND CORRECTLY! Let X be a random variable with probability density function fx(2, -1 <z<3, 0 otherwise. Find the probability distribution of Y-X2 for 0 < y < 1, 1 < y < 9, and y > 9. [Obviously, fy(y)-0 for y < 0.1 Case 1: O < y < 1. Enter a formula below. Use * for multiplication, / for divison, ^ for power and sqrt for square root. For example, sqrt y...
1) 2) 3) 4) 5) Suppose that X is a uniform random variable on the interval (0, 1) and let Y = 1/X. a. Give the smallest interval in which Y is guaranteed to be. Enter -Inf or Inf for – or o. Interval:( b. Compute the probability density function of Y on this interval. fy(y) = Suppose that X ~ Bin(4, 1/3). Find the probability mass function of Y = (X – 2)2. a. List all possible values that...
(10 points) Let Y have probability density function (pdf) 3y?, for ( <y<1 fy(y) = 10, otherwise (a) Compute the probability density function (pdf) of 1/Y. (b) Compute the probability density function (pdf) of Y1 +Y2, if Yį and Y2 are inde- pendent random variables with the same pdf as Y. (You can use a computer to help with the integration).
1. Consider a continuous random variable X with the probability density function Sx(x) = 3<x<7, zero elsewhere. a) Find the value of C that makes fx(x) a valid probability density function. b) Find the cumulative distribution function of X, Fx(x). "Hint”: To double-check your answer: should be Fx(3)=0, Fx(7)=1. 1. con (continued) Consider Y=g(x)- 20 100 X 2 + Find the support (the range of possible values) of the probability distribution of Y. d) Use part (b) and the c.d.f....
the answer is y-7/12=-1/11(x-7/12) but I dont know why 5) Let X and Y have joint probability density function Graph the support of the joint random variable (X, Y). Find the Least squares regression line and graph it with the support 5) Let X and Y have joint probability density function Graph the support of the joint random variable (X, Y). Find the Least squares regression line and graph it with the support
give the answer in detail 9. Let X be a continuous random variable with probability density function given by 0 otherwise Find the probability density function of Y X2 +3
Let X be a continuous random variable with the following probability density function f 0 < x < 1 otherwise 0 Let Y = 10 X: (give answer to two places past decimal) 1. Find the median (50th percentile) of Y. Submit an answer Tries 0/99 2. Compute p (Y' <1). Submit an answer Tries 0/99 3. Compute E (X). 0.60 Submit an answer Answer Submitted: Your final submission will be graded after the due date. Tries 1/99 Previous attempts...
Please answer everything and give a detailed answer. Thanks 2. Let (X, Y) be a continuous random vector with probability density function 2xety, if x 2 0 and 1 < y< 0, 2, else. (c) Find the moment generating function of X; using the moment gener-ating function, calculate Var(X2) (d) Calculate Cov(X, Y). Calculate Var(X +Y) and Var(X -Y). Calculate P(XY 2 2XY 2 1) 2. Let (X, Y) be a continuous random vector with probability density function 2xety, if...
(1 point) 3. Let X and Y be random variables with a joint probability density function f(z, y)e (a)Find the marginal distribution functions of X and Y, respectively. i.e. Find f(z) and f(y) f(x)- elsewhere (b) Identify the distribution of Y. What is the E(Y) and SD(Y) E(Y)- (c) Are X and Y independent random variables? Show why, or why not (d) Find P(1 X 2|Y 1) E SD(Y)-