Consider the joint probability distribution of X and Y:x = 0x = 1P(y)y = 0y = 1P(x)0.50.20.70.10.20.30.60.41What is pxr (rounded to four decimal places)?

Answered: Image /qna-images/answer/b6152db9-1f9d-49c5-a1d5-7f13688ec57e.jpg

Answered: Consider the joint probability…

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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An unfair die looks like an ordinary six-sided die but the outcomes are not equally likely. The probability distribution of the face value, XX, is as follows: xixi 1 2 3 4 5 6 Total P(X=xi)P(X=xi) 0.15 0.16 0.33 0.2 0.11 0.05 1 The expected value is computed, E[X]=3.11E[X]=3.11. To find the variance and standard deviation the following table was set up: xixi P(X=xi)P(X=xi) (xi−E[X])2(xi-E[X])2 (xi−E[X])2P(X=xi)(xi-E[X])2P(X=xi) 1 0.15 (1−3.11)2=(−2.11)2=4.4521(1-3.11)2=(-2.11)2=4.4521 4.4521⋅0.15=0.66784.4521⋅0.15=0.6678 2 (2−3.11)2=(−1.11)2=1.2321(2-3.11)2=(-1.11)2=1.2321 1.2321⋅0.16=0.19711.2321⋅0.16=0.1971 3 0.33 (3−3.11)2=(−0.11)2=(3-3.11)2=(-0.11)2= 0.0121⋅0.33=0.0040.0121⋅0.33=0.004 4 0.2 (4−3.11)2=(0.89)2=0.7921(4-3.11)2=(0.89)2=0.7921 0.7921⋅0.2=0.7921⋅0.2= 5 (5−3.11)2=(1.89)2=3.5721(5-3.11)2=(1.89)2=3.5721 3.5721⋅0.11=0.39293.5721⋅0.11=0.3929 6 0.05 8.3521⋅0.05=0.41768.3521⋅0.05=0.4176 E[X]=3.11E[X]=3.11 Total:…
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Given the following table, which corresponds to the values that a random variable X takes and its probability function p(x): xi 2 3 4 5 6 7 p(xi) 0.088 0.34 0.46 0.06 0.04 0.012 Calculate the distribution function (integral function) of x.

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Consider the joint probability distribution of X and Y: x = 0 x = 1 P(y) _y = 0 y = 1 P(x) 0.5 0.2 0.7 0.1 0.2 0.3 0.6 0.4 1 What is pxr (rounded to four decimal places)?