The Random Variable X Is the Number of Occurrences of an Event

question 17

Multiple Choice

The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. Which of the following discrete probability distributions' properties are satisfied by random variable x?

• A) Normal
• B) Poisson
• C) Binomial
• D) Hypergeometric

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Definitions:

Preferred Stock

A category of corporate ownership that holds a superior claim over the company's resources and profits compared to common stocks, typically offering consistent dividend payments.

Equity

The ownership interest of shareholders in a corporation, represented by their shares of stock.

Dividends

Payments made by a corporation to its shareholder members, often derived from profits.

Constant Rate

A situation or condition in which a particular variable remains unchanged over a period of time.