Determine the Probability of an Outcome of the Probability Density $f ( x ) = 4 x ^ { 3 }$

question 44

Short Answer

Determine the probability of an outcome of the probability density function $f ( x ) = 4 x ^ { 3 }$ being between $\frac { 1 } { 4 } \text { and } \frac { 1 } { 2 }$ where $0 \leq x \leq 1$ .
Enter just a reduced fraction.

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Definitions:

Compounded Semi-Annually

The process of calculating interest where the interest is added to the principal sum of a loan or deposit twice a year.

Mutual Fund

A type of investment vehicle consisting of a portfolio of stocks, bonds, or other securities, which is managed by an investment company with the capital pooled from many investors.

Rate of Total Return

A measure of the gain or loss on an investment over a specified period, including interest, capital gains, dividends, and distributions realized over the period.

Rental Income

Income received from leasing out property or other real estate assets.