A Random Variable X Has a Cumulative Distribution Function F(x) $\frac { 1 } { ( x + 1 ) ^ { 2 } }$

question 92

Short Answer

A random variable X has a cumulative distribution function F(x) = 1 - $\frac { 1 } { ( x + 1 ) ^ { 2 } }$ for $$x \geq 0$$ . Find $$\operatorname { Pr } ( 1 \leq X \leq 4 )$$ .
Enter just a reduced fraction.

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Definitions:

No Par Common Stock

is common stock that has been issued without a par value, meaning its value is not fixed in the company’s charter but is determined by the market.

Cash Price

The amount of money that a buyer must pay to purchase a good or service immediately without financing.

Paid-In Capital

Funds that a company raises by issuing shares of stock, representing the amount shareholders contribute in exchange for stock.

Treasury Stock

Shares that were issued and later reacquired by the issuing corporation, not considered when calculating dividends or earnings per share.