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

question 32

Short Answer

Find the expected value and variance for the random variable whose probability density function is $f ( x ) = x$ $0 \leq x \leq 1 .$ Enter just two reduced fractions (unlabeled) in the order E(X), Var(X) separated by a comma.

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Definitions:

Share Repurchase

An initiative where a corporation repurchases its shares from the market, consequently diminishing the number of available shares and possibly raising the value of the shares still in circulation.

Own Company

A term referring to the possession or control of a company's shares, signifying ownership interest by shareholders or proprietors.

Marketplace

A platform or venue where goods, services, or financial instruments are traded between buyers and sellers.

Stock Dividend

is a dividend payment made in the form of additional shares rather than cash, potentially diluting the value of each share but not the total value.