answer it asap thanks Example: A continuous random Variable x hasX70fx (x)=Find the E(X). /-ах0X40probability density given by7)×9613)(x))[6] T

Answered: Example: A continuous random Variable x…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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If X has a uniform density with α = 0 and β = 1, show that the random variable Y = −2. In X has a gamma dis-tribution. What are its parameters?
X is an exponential random variable with λ =1 and Y is a uniform random variable defined on (0, 2). If X and Y are independent, find the PDF of Z = X-Y2
As soon as possible! Let X and Y be continuous random variables with joint PDF
A simple random sample X1, …, Xn is drawn from a population, and the quantities ln X1, …, ln Xn are plotted on a normal probability plot. The points approximately follow a straight line. True or false: a) X1, …, Xn come from a population that is approximately lognormal. b) X1, …, Xn come from a population that is approximately normal. c) ln X1, …, ln Xn come from a population that is approximately lognormal. d) ln X1, …, ln Xn come from a population that is approximately normal.
If a constant c is added to each possible value of a discrete random variable X, then the expected value of X will be shifted by that same constant amount. Prove that statement using an integration operator.
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Suppose that the lifetime X (in hours) of a certain type of flashlight battery is a random variable on the interval 30 ≤ x ≤ 50 with density function f(x) = 1/20, 30 ≤ x ≤ 50. Find the probability that a battery selected at random will last at least 35 hours.
If X is a random variable that is uniformly distributed between -1 to 1, find the PDF √|X| of and pdf of -ln|X|
Let X be a (continuous) uniform random variable on the interval [0,1] and Y be an exponential random variable with parameter lambda. Let X and Y be independent. What is the PDF of Z = X + Y.
Suppose that X and Y are independent and uniformly distributed random variables. Range for X is (−1, 1) and for Y is (0, 1). Define a new random variable U = XY, then find the probability density function of this new random variable.
If a random variable X has a uniform density with theparameters α and β, find its distribution function.
X1 and X2 are independent random variables such that Xi has PDF fXi(x)={λiexp(−λix) when x≥0, 0 otherwise}. What is P[X2<X1]?

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Example: A continuous random Variable x has aeax X70 fx (x)= Find the E(X). 0 X40 probability density given by pd