MJ shoots each basketball shot with probability p = 0.25, independent of previous results. Let X denote the number of shots attempted until MJ hits 2 baskets in a row. For instance, if A stands for a hit and B stands for a miss, then for the sequence ABAAABB..., we have X = 4. (a) What are the possible values for the random variable X? (b) Find P(X = 2) (c) Find P(X = 3) (d) Find E[X].
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.
MJ shoots each basketball shot with probability p = 0.25, independent of
previous results. Let X denote the number of shots attempted until MJ hits 2 baskets in a row.
For instance, if A stands for a hit and B stands for a miss, then for the sequence ABAAABB..., we have X = 4.
(a) What are the possible values for the random variable X?
(b) Find P(X = 2)
(c) Find P(X = 3)
(d) Find E[X].
Geometric Distribution for a number of trials:
Suppose a Random Variable 'X' assumes the number of trials required to get the first success in a repetition of trials then 'X' follows a geometric distribution with probability mass function as
here, 'p' is the parameter of the distribution that states the probability of success in a single trial.
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