Find the Expected Value and Variance for the Random Variable $f ( x ) = 4 x - 1$

question 90

Short Answer

Find the expected value and variance for the random variable whose probability density function is $f ( x ) = 4 x - 1$ $\frac { 1 } { 2 }$ ≤ x ≤ 1.
Enter just two reduced fractions (unlabeled) in the order E(X), Var(X) separated by a comma.

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Definitions:

Stem-And-Leaf Plot

A graphical method of displaying quantitative data that splits each value into a "stem" (the leading digit or digits) and a "leaf" (the last digit).

Frequency Distribution

A summary of how often each value occurs in a data set, typically represented in a table or as a graph.

Dotplot

A graphical display of data using dots, where each dot represents one or more observations, allowing for the visualization of the distribution of the data set.

Frequency Distribution

A tabular or graphical representation showing how often different values occur in a dataset.