Question 2: The support of a continuous random variable is the set of the outcomes such...
Question 2: The support of a continuous random variable is the set of the outcomes such that f(z) 〉 0. If X has support la.bl and Y support |c, d and they are independent, what is the support of X +Y Question 2: The support of a continuous random variable is the set of the outcomes such that f(z) 〉 0. If X has support la.bl and Y support |c, d and they are independent, what is the support of...
2. Let X be a continuous random variable with pdf f(x) = { cr", [w] <1, f() = 0. Otherwise, where the parameter c is constant (with respect to x). (a) Find the constant c. (b) Compute the cumulative distribution function F(2) of X. (c) Use F(2) (from b) to determine P(X > 1/2). (d) Find E(X) and V(X).
Probability and statistics for engineers d. 045 Question 2 Not yet answered A continuous random variable X has the following density function (2x+1) f(x)= 1<x<3 10 Find 0. otherwise PC 2 < x < 2.5) Marked out of 2 P Flag question a. 0.275 b.0.1 C 0.05 d. 2.13 3 Let A and B two independent events and PIA) - 0.6 and PAB) =
1. Let X be a continuous random variable with CDF F(ro)-a+b 3 and support set 0, 1]. (a) Calculate the values of a, b that would make F(ro) a valid CDF. (b) Write out the pdf of X. c) Calculate EX d) Calculate EX
2. Suppose X is a continuous random variable with the probability density function (i.e., pdf) given by f(x) - 3x2; 0< x < 1, - 0; otherwise Find the cumulative distribution function (i.e., cdf) of Y = X3 first and then use it to find the pdf of Y, E(Y) and V(Y)
2. Let X be a continuous random variable with pdf ( cx?, [xl < 1, f(x) = { 10, otherwise, where the parameter c is constant (with respect to x). (a) Find the constant c. (b) Compute the cumulative distribution function F(x) of X. (c) Use F(x) (from b) to determine P(X > 1/2). (d) Find E(X) and V(X).
Question-4: Suppose Y is a continuous random variable with the following pdf where ) is the parameter. f(y) = le-ly; y> 0, 1 > 0 Let X = e-Y a)[2 points) Find the distribution function of X. b)[2 points) Find E[X +1]. (Show detailed calculation for both parts)
3) The continuous random variable X has the probability density function, ), 2 3x3 f(x) = { a, 35x55 2 - bx, 5 < x < 6 elsewere 10 i)Find the value of a and b and hence, sketch f(x) ii) Find the cumulative distribution function, f(x) and sketch it.
Let X be a continuous random variable with cumulative distribution function F(x) = 1 − X−α x ≥ 1 where α > 0. Find the mean, variance and the rth moment of X. Question 1: Let X be a continuous random variable with cumulative distribution function where a >0. Find the mean, variance and the rth moment of X
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