The following table gives the joint probability distribution between employment statusand college graduation among those that are either employed or unemployed in theworking-age population of a given countryUnemployed (Y=0) Employed (Y=1) | TotalNon-College graduates (X = 0)College graduates (X = 1)0.0780.6737510.0420.2070.249Total0.1200.8801.000• Compute E(Y)• Show that E(Y)= P(Y = 1) for a dummy variable (r.v. with possible outcomes0 or 1).• The unemployment rate is the fraction of the labor force that is unemployed.Conclude from the previous question that it is equal here to 1 – E(Y).• Calculate E(Y|X = 1) and E(Y|X = 0)• Are educational achievement and employment status independent ? Explain.

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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 the random variable x has a Poisson Distribution with mean μ = 3.95, find the probability that x = 16.
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The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.2380.238. Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size ?=500n=500 of young adults ages 20–39 in the United States. Apply the central limit theorem to find the probability that the number of individuals, ?,X, in Lance's sample who regularly skip breakfast is greater than 126126. You may find table of critical values helpful. Express the result as a decimal precise to three places. Then, Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals in Lance's sample who regularly skip breakfast is less than 9898. Express the result as a decimal precise to three places.
certain city, the daily consumption of water (in millions of liters) follows approximately a gamma distribution with rate = 0.5 and shape parameter=4. If the daily capacity of that city is 8 million liters of water, what is the probability that on any given day the water supply is more than the daily capacity? O 0.174 O 0.5665 O 0434 O 0.8264
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