A baseballer rikes out 47% of the batters he faces (that is, the probability that he strikes out any given batter correct is .47). (a) In a series of five games, he faces 180 batters. What is the probability that he strikes out exactly 81 batters? (b) In a month, he faces 630 batters. What is the probability that he strikes out 310 or more batters? Now, every day for eternity he faces 100 batters, and records the number he strikes out. (c) Find the mean μ, and the standard deviation σ, of the numbers (of batters he strikes out on different days) that he records.
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 baseballer rikes out 47% of the batters he faces (that is, the
given batter correct is .47).
(a) In a series of five games, he faces 180 batters. What is the probability that he strikes out
exactly 81 batters?
(b) In a month, he faces 630 batters. What is the probability that he strikes out 310 or more batters? Now, every day for eternity he faces 100 batters, and records the number he strikes out.
(c) Find the mean μ, and the standard deviation σ, of the numbers (of batters he strikes out on
different days) that he records.
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