The probability density of a random variable X is given in the figure below.[Figure depicting a probability density function]The graph represents a uniform probability density function for the random variable X. The graph is a rectangle with a constant height spanning from X = 0 to X = 2, with a marked midpoint at X = 1.From this density, the probability that X is at least 0.66 is:[Box for answer]

Answered: Image /qna-images/answer/c44dbf93-a58c-4621-9eb4-23a0d838ec65.jpg

Answered: The probability density of a random…

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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Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -4,0,1,2, and 4.
Let X be a random variable whose probability density function is plotted below. If one was to generate X by passing a uniform (0, 1) random variable through a function, then what function would you use? (your answer should be a function of x). 0.9- 0.8- 0.7- 0.6- 0.5 qula Snip 0.4 0.3- 0.2- 0.1 -2 -1.8 -1.6 -1.4 -1.2 -1 -0.8 -0.6 -0.4 -0.2 0
Given the probability distributions for variables X and Y shown to the right, compute the terms below a. E(X) and E(Y) b. ox and dy C. OXY d. E(X+Y) P(X,Y) 0.4 0.6 X 100 300 Y 300 100 0
Fill in the P(X=x)values to give a legitimate probability distribution for the discrete random variable X, whose possible values are −2,1, 3, 4, and 5.
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Then find: a. E(X + Y) b. E(XY) c. E(X/Y) d. Var(X + Y)
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The probability density of a random variable X is given in the figure below. 1 From this density, the probability that X is at least 0.66 is: