The Joint Probability Distribution of X and Y Is Shown $\quad$

question 54

Essay

The joint probability distribution of X and Y is shown in the following table. $\quad$ $\quad$ $\quad$ $\quad$$X$
$\begin{array}{c|ccc}Y & 1 & 2 & 3 \\\hline 1 & .30 & .18 & .12 \\2 & .15 & .09 & .06 \\3 & .05 & .03 & .02\end{array}$
a. Determine the marginal probability distributions of X and Y.
b. Are X and Y independent? Explain.
c. Find P(Y = 2 | X = 1).
d. Find the probability distribution of the random variable X + Y.
e. Find E(XY).
f. Find COV(X, Y).

Grasp the accounting implications of transactions that have commercial substance and the recognition of gains or losses on asset exchanges.

Understand the concept of policy-sensitive practice and its importance in social work.

Recognize the role and challenges of social policy advocates.

Comprehend the principle of beneficence in the context of social work and policy advocacy.

---

Definitions:

Personal Relevance Theory

A theory suggesting that people are more likely to be persuaded by messages that they find personally relevant or meaningful.

Peripheral Cue

A type of stimulus in persuasion that influences a person's attitude or behavior through indirect or secondary features, rather than the central message itself.

Central Route

A method of persuasion that involves deep processing of information, focusing on the arguments and content to change attitudes.

Peripheral Route

A method of persuasion that relies on superficial cues rather than the merit of the argument itself, often found in the Elaboration Likelihood Model of persuasion.