The Following Table Is a Valid Probability Distribution, for a Random

question 53

Short Answer

The following table is a valid probability distribution, for a random variable X, where the individual probabilities are unknown. $$\begin{array} { | c | c | } \hline X & P [ X ] \\\hline - 3 & \\\hline - 2 & \\\hline 0 & \\\hline 1 & \\\hline 2 & \\\hline\end{array}$$ Which of the following statements is correct ? $\begin{array}{|l|l|}\hline A&\text {The expected value of \( \mathrm{X} \) can only be 0 . }\\\hline B&\text { The expected value of \( \mathrm{X} \) could be 3 .}\\\hline C&\text { The expected value of \( \mathrm{X} \) could be 0.5}\\\hline D&\text {None of these choices are correct }\\\hline \end{array}$

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Definitions:

If-else Statement

A conditional statement in programming that executes a block of code if a specified condition is true and another block if the condition is false.

Compound Statement

A block of statements enclosed within curly braces {} in programming languages, allowing for multiple statements to be treated as a single statement.

If-else Statement

A control flow statement that executes a block of code if a specified condition is true, and another block if the condition is false.

Repetitions

The action or process of repeating something like operations or instructions in programming, often implemented using loops.