The Life of a Battery Is a Random Variable with Probability

question 5

Short Answer

The life of a battery is a random variable with probability density function $f ( x ) = \frac { 3 } { 56 } x ^ { 2 }$ , $2 \leq x \leq 4$ where x is the time in months. Calculate E(X).
Enter just a reduced fraction of form $\frac { a } { b }$ unlabeled.

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Definitions:

Depreciation Expense

An accounting method that allocates the cost of a tangible asset over its useful life, reflecting wear and tear or obsolescence.

Long-Service Leave

An employee benefit offering paid leave to those who have been employed by the same company for a long period of time, typically recognized in countries like Australia.

Accounting Policies

The exclusive doctrines, fundamentals, customs, laws, and strategies adopted by a firm in assembling and revealing its financial documentation.