Distribution
the Probability Distribution of a Discrete Random Variable X $$\begin{array} { c | c c c c } x & 0 & 1 & 2 & 3 \\\hline p ( x ) & .25 & .40 & .20 & .15\end{array}$$

question 57

Short Answer

Distribution
The probability distribution of a discrete random variable x is shown below. $$\begin{array} { c | c c c c } x & 0 & 1 & 2 & 3 \\\hline p ( x ) & .25 & .40 & .20 & .15\end{array}$$
-Find the expected value,the variance,and the standard deviation of x.
E(x)= ____________________.
Variance = ____________________.
SD = ____________________.

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Definitions:

T Distribution

A probability distribution used in statistics that accounts for the sample size in estimating the mean of a normally distributed population when the standard deviation is unknown.

One-tailed Test

A statistical test in which the region of rejection is on only one side of the sampling distribution, used when predicting the direction of a potential difference or relationship.

Sample Size

The number of observations or subjects selected from a population for a study.

T Distribution

A statistical distribution used when the sample size is small and the population standard deviation is unknown.