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

question 32

Essay

Let X and Y be two independent random variables with the following probability distributions: $$\begin{array}{l}\begin{array} { l | r r r } x & 1 & 2 & 3 \\\hline p ( x ) & 0.2 & 0.5 & 0.3\end{array}&\begin{array} { l | r r r } y & - 1 & 0 & 1 \\\hline p ( y ) & 0.3 & 0.3 & 0.4\end{array}\end{array}$$ Find the probability distribution of the random variable X + Y.

---

Definitions:

Existence Needs

Refers to the basic physiological and safety needs of individuals, such as food, water, shelter, and security.

Growth Needs

Psychological desires that drive individuals to seek challenges, self-improvement, and personal development.

Motivator Factor

Elements of work or conditions that can significantly increase job satisfaction and motivation, as per Herzberg's motivation-hygiene theory.

Herzberg

Refers to Frederick Herzberg, a psychologist known for his Two-Factor Theory of motivation and job satisfaction.