Three dice are to be flipped exactly once. The first dice will land on a 4 with probability .2, the second dice will land on a 4 with probability .3 and the third dice will land on a 4 with probability 0.4. Assume that the results of the flips are independent of each other, and let X equal the total number of 4’s that result. (a) Find the cumulative distribution function of X. (b) Compute Var[X]. (If needed round to two decimal places).
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.
Three dice are to be flipped exactly once. The first dice will land on a 4 with probability .2,
the second dice will land on a 4 with probability .3 and the third dice will land on a 4 with
probability 0.4. Assume that the results of the flips are independent of each other, and let X
equal the total number of 4’s that result.
(a) Find the cumulative distribution
(b) Compute Var[X]. (If needed round to two decimal places).
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