Which of the Following Is True About Probability Density Functions

question 12

Multiple Choice

Which of the following is true about probability density functions?

• A) A graph of the density function must lie at or below the x-axis.
• B) The total area under the density function below the x-axis is 2.0.
• C) It calculates the probability of a random variable lying within a certain interval.
• D) P (a) x P (b) is the area under the density function between two numbers a and b.

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Definitions:

Level of Significance

The probability threshold below which the null hypothesis is rejected in hypothesis testing, typically denoted by alpha (α).

Null Hypothesis

A statement that there is no effect or no difference, and it serves as the default or starting assumption in hypothesis testing.

Variance

A measure of the dispersion of a set of data points around their mean value, quantifying how much the data points differ from each other.

Standard Deviation

A measure that quantifies the amount of variation or dispersion of a set of numeric values.