Let X Be a Continuous Random Variable and Let C

question 35

Multiple Choice

Let X be a continuous random variable and let c be a constant.Which of the following statements is true?

• A) The probability that X assumes a value in the interval X1 to X2 is the area under the probability density function between X1 and X2.
• B) P(X = c) = 0.
• C) P(X ≤ c) = P(X < c).
• D) All of these statements are true.

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Definitions:

Social Security

A government program that provides financial assistance to people with an inadequate or no income, especially the elderly and disabled.

Payroll Taxes

Levies placed on either employers or employees, typically based on a proportion of the wages that staff receive from their employers.

Temperance

Moderation or self-restraint, especially in eating and drinking.

Prohibition

The period during which the manufacture, sale, and transportation of alcoholic beverages were banned in the United States through the 18th Amendment to the Constitution (1920-1933).