Mwema plays a game in which a fair die is thrown once. If the score is 1,2or 3 Mwema loses £10. If the score is 4 or 5 Mwema wins £x..If the score is 6, Mwema wins £2x. (i) Show that the expectation of Mwema’s is£ ( in a single game. (ii) Calculate the value of x for which on average Mwema’s profit is zero (iii) Given that x=12, calculate the variance of Mwema’s profit in a single 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.
) Mwema plays a game in which a fair die is thrown once. If the score is 1,2or 3 Mwema loses £10. If the score is 4 or 5 Mwema wins £x..If the score is 6, Mwema wins £2x.
(i) Show that the expectation of Mwema’s is£ ( in a single game.
(ii) Calculate the value of x for which on average Mwema’s profit is zero
(iii) Given that x=12, calculate the variance of Mwema’s profit in a single game
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