Let X and Y Be Two Independent Random Variables with the Following

question 24

Essay

Let X and Y be two independent random variables with the following probability distributions: $$\begin{array}{l}\begin{array} { l | r r r } x & 1 & 2 & 3 \\\hline p ( x ) & 0.2 & 0.5 & 0.3\end{array}&\begin{array} { l | r r r } y & - 1 & 0 & 1 \\\hline p ( y ) & 0.3 & 0.3 & 0.4\end{array}\end{array}$$ a. Find the probability distribution of the random variable XY.
b. Check whether E(XY) = E(X) ´ E(Y) by separately evaluating each side of the equality.

---

Definitions:

Top Priority

Refers to the most important issue, task, or objective that requires immediate attention and resources above all others.

Subcultures

Groups in an organization who share different values to those held by the majority.

Organization

A structured group of people working together to achieve common goals or objectives through a division of labor and a hierarchy of authority.

Different Values

Varied beliefs or principles that individuals or groups consider important, influencing their actions and decisions.