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Basic Statistics20795 marksNumerical: random variable probability distributionRandom variables and probability functions

Define Random Variable and Solve **Define random variable:** A random variable is a function that assigns numerical values to the outcomes of a random experiment. It can be discrete (taking specific values) or continuous (taking any value in an interval). Given the probability distribution:

Define Random Variable and Solve

Define random variable: A random variable is a function that assigns numerical values to the outcomes of a random experiment. It can be discrete (taking specific values) or continuous (taking any value in an interval).

Given the probability distribution:

$$\begin{array}{|c|c|c|c|c|c|}\hline X & -2 & -1 & 0 & 1 & 2 \ \hline P(X) & 0.2 & K & 0.4 & 2K & K \ \hline \end{array}$$

A random variable is a real-valued function that assigns a numerical value to each outcome in the sample space of a random experiment. In other words, it maps the outcomes of a random phenomenon to numbers. Random variables are classified as: - Discrete random variable: takes countable values (e....

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