Answered: Let X and Y be continuous random…

Business

Economics

Let X and Y be continuous random variables with joint pdf fxy (x, y) = 3x, 0sy

MACROECONOMICS FOR TODAY

10th Edition

ISBN:9781337613057

Author:Tucker

Publisher:Tucker

Chapter1: Introducing The Economic Way Of Thinking

Section1.A: Applying Graphics To Economics

Problem 6SQ

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Concept explainers

Hypothesis Testing

In statistics, there are two ways to calculate the sample data. One is descriptive statistics and the other is inferential statistics. In descriptive statistics, all of the information is defined through graphs and charts. In inferential statistics, it allows one to test the hypothesis and it is always used to predict the data. Inferential statistics has two main areas: estimating parameters and hypothesis testing. A hypothesis is a statement about the unknown parameter of the population which we want to verify from the information available from the sample. The premise may or may not be true. The estimation of the whole population would be a reasonable way of deciding if the statistical hypothesis is valid. There are two types of hypotheses. They are null hypothesis and alternative hypothesis.

Question

2. Let X and Y be continuous random variables with joint pdf fx.y (x, y) = 3x, 0sy<xsI,
and zero otherwise.
a. What is the marginal pdf of X?
b. What is the marginal pdf of Y?
c. What is the expectation of X alone?
d. What is the covariance of X and Y?

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