Determine the Probability of an Outcome of the Probability Density $f ( x ) = 12 x ^ { 2 } - 12 x ^ { 3 }$

question 68

Short Answer

Determine the probability of an outcome of the probability density function $f ( x ) = 12 x ^ { 2 } - 12 x ^ { 3 }$ being between $\frac { 1 } { 2 } \text { and } 1$ where $0 \leq x \leq 1$ .
Enter just a reduced fraction.

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Definitions:

Cash

Liquid assets held by a company or individual, used for transactions or as a reserve for future payments.

Consolidation

Consolidation is the process of combining the financial statements of a parent company and its subsidiaries into a single, comprehensive set of statements.

Outstanding Common Stock

Shares of a company's common stock that have been issued and are in the hands of investors, including those held by the public and company insiders but excluding treasury shares.

Annual Amortization

The procedure of methodically deducting the starting cost of an intangible asset throughout its period of utility.