Problem 5-32. The joint probability distribution of two random variables X and Y isgiven by : P (X = 0, Y = 1) =, P (X = 1, Y = - 1) , and P (X = 1, Y = 1) =11%3D33Find (i) Marginal distributions of X and Y, and (ii) the conditional probabilitydistribution of X given Y = 1.

Answered: Image /qna-images/answer/8e4e5ade-06eb-47db-bbfc-5f204feae942.jpg

Answered: Problem 5-32. 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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Problem 1. Suppose that X ~ N(3,0.16). Find the following probabilities. (1). Р(X > 3) (2). P(X > 3.3) (3). Р(2.8 < X <3.1) (4). Find the 98-th percentile of X. (5). Find the value c such that P(3 – c < X < 3+ c)=0.9.
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Problem 5.2.: The daily wage of a particular industry is normally distributed with a mean of 150 pesos. In a random sample of 144 workers of a very large company in this industry, the mean daily wage was found to be 148 pesos with a standard deviation of 10 pesos. Can this company be accused of paying inferior wages (less than the usual) at α=5%? Please Refer to Problem 5.2.: Question: The decision rule to be used at α=5% is: “Reject Ho of tc > ttab = 66, otherwise fail to reject Ho.”

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Problem 5-32. The joint probability distribution of two randoni variables X and Y is given by : P (X = 0, Y = 1) =, P (X = 1, Y = – 1) , and P (X = 1, Y = 1) = Find (i) Marginal distributions of X and Y, and (ii) the conditional probability distrihutiom of X given Y = 1