Let X Be a Continuous Random Variable a ≤ X $\int _ { a } ^ { b } f ( x ) d x$

question 27

True/False

Let X be a continuous random variable A ≤ X ≤ B and let f (x) be its probability density function and F (x) its cumulative distribution function. Indicate whether the following statements are true or false.
-Pr(a ≤ X ≤ b) = $\int _ { a } ^ { b } f ( x ) d x$

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Definitions:

Cash Basis

An accounting method where revenues and expenses are recognized only when cash is actually received or paid out, ignoring receivables and payables.

Expense Recognition

The accounting principle that expenses should be recognized in the period in which they are incurred, regardless of when payment is made.

Economic Life

The expected period during which an asset remains useful to a particular entity or project, often affecting its depreciation schedules.

Business Entity

An organization established as a separate legal entity for the purposes of conducting business, such as a corporation, partnership, or sole proprietorship.