question 30

Short Answer

$$\text { If } f \text { and } g \text { are continuous functions with } f ( 9 ) = 6 \text { and } \lim _ { x \rightarrow 9 } [ 2 f ( x ) - g ( x ) ] = 9 \text {, find } g ( 9 ) \text {. }$$

---

Definitions:

Chi-Square Distribution

A statistical distribution used in hypothesis testing that is based on the sum of squares of standardized random variables.

Degrees of Freedom

A concept in statistical calculations used to adjust for the number of variables, indicating the amount of independent information available to estimate another parameter.

Goodness-of-Fit Test

A statistical test used to determine if a set of observed data matches the expected distribution.

Probability Distribution

A mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment.