Consider a State Lottery That Has a Weekly Television Show

question 39

Multiple Choice

Consider a state lottery that has a weekly television show. On this show, a contestant receives the opportunity to win $1 million. The contestant picks from four hidden windows. Behind each is one of the following: $225,000, $300,000, $1 million, or a "stopper." Before beginning, the contestant is offered $400,000 to stop. Mathematically speaking, should the contestant take the $400,000? ​

• A) yes
• B) I don't know
• C) doesn't matter
• D) no

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Definitions:

Standard Deviation

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

Sample Mode

The value that appears most frequently in a given set of data from a sample.

Hypotheses

Proposed explanations made on the basis of limited evidence as a starting point for further investigation.

Chi-Square Distribution

A statistical distribution that is used to describe the distribution of the sum of squared random variables.