A carnival game costs $5 to play. If the player hits two balloons, they win $30. If the player hits 1 balloon, they win $10. If the player hits zero balloons, they win nothing. The probability the player hits two balloons is 0.2, but the probability the player hits zero balloons is 0.55. a) Fill in the following table. OUTCOME OUTPUT P(X= x ) b) What is the expected value of this game? c) What is the standard deviation of the game?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A carnival game costs $5 to play. If the player hits two balloons, they win $30. If the player hits
1 balloon, they win $10. If the player hits zero balloons, they win nothing. The probability the
player hits two balloons is 0.2, but the probability the player hits zero balloons is 0.55.
a) Fill in the following table.
| OUTCOME | OUTPUT | P(X= x ) |
b) What is the
c) What is the standard deviation of the game?
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