In a coin tossing game, in each turn, the player tosses two coins into the air. He/she wins 4 points for each number of heads he/she gets. However, he/she loses 3 points for each number of tails. Calculate the expected value (mean) and variance (of points) for a turn of the game (when tossing two coins)? (Hint: what are all the possible events in terms of heads or tails when tossing two coins?)
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.
In a coin tossing game, in each turn, the player tosses two coins into the air.
He/she wins 4 points for each number of heads he/she gets. However, he/she loses 3 points for each number of tails.
Calculate the
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