The Random Variable X Has the Following Probability Distribution $$\begin{array} { c c } x &fx) \\0 & .25 \\1 & .20 \\2 & .15 \\3 & .30 \\4 & .10\end{array}$$

question 58

Short Answer

The random variable x has the following probability distribution:
$$\begin{array} { c c } x &fx) \\0 & .25 \\1 & .20 \\2 & .15 \\3 & .30 \\4 & .10\end{array}$$
a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.
b. Calculate the expected value of x.
c. Calculate the variance of x.
d. Calculate the standard deviation of x.

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Definitions:

MANOVA

Multivariate Analysis of Variance, a statistical method used to compare the means of multiple dependent variables across multiple groups.

Multivariate Analysis

A collection of statistical methods designed to evaluate data originating from multiple variables.

Path Analysis

A specialized form of structural equation modeling used to analyze complex relationships between directly and indirectly related variables.

Factor Analysis

A statistical method used to identify underlying relationships among variables by grouping them into factors based on their correlations.