Determine Whether the Function Is a Probability Density Function Over $f ( x ) = \frac { 1 } { 8 } x , \quad 0 \leq x \leq 4$

question 47

True/False

Determine whether the function is a probability density function over the given interval.
- $f ( x ) = \frac { 1 } { 8 } x , \quad 0 \leq x \leq 4$

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Definitions:

Discount Rate

A rate used to determine the present value of future cash flows; in monetary policy, it refers to the interest rate charged to commercial banks for loans from a central bank.

Trust Agreement

A legal document establishing a trust and outlining the rules and guidelines that the trustees must follow in managing the trust assets for the benefit of the beneficiaries.

Present Value

The worth in present terms of a sum of money due in the future or sequences of cash receipts, using a given rate of return for discounting.

Discount Rate

The rate of interest applied to calculate the current value of future cash flows.