A Discrete Random Variable X Can Assume Five Possible Values

question 47

Multiple Choice

A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability distribution is shown below. Find the probability for the value of x = 5. $$\begin{array} { c | c c c c c } \mathrm { x } & 2 & 3 & 5 & 8 & 10 \\\hline \mathrm { p } ( \mathrm { x } ) & 0.10 & 0.20 & ? ? ? & 0.30 & 0.10\end{array}$$

• A)0.7
• B)0.1
• C)0.2
• D)0.3

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Definitions:

Two-tailed Test

A statistical test that considers the possibility of both directions of effect (greater than or less than), assessing the significance of a deviation in either direction from a null hypothesis.

Sample Size

The number of observations or data points collected or used in a sample for analysis.

Lower Tail

The portion of a distribution of data or probability to the left of a specified value.

P-value

A measure in statistical hypothesis testing that helps determine the significance of the results.