Two tennis players A and B play according to the following rule: the first one to win two more sets than the other (2-0,0-2,3-1,1-3...) wins the match. From their previous matches, it is known that player A wins a set with a probability of 0.6 a) give the finite state space and draw the state transition diagram. b) what is the probability that player A wins the match? c) what is the expected number of sets played in the match?
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.
Two tennis players A and B play according to the following rule: the first one to win two more sets than the other (2-0,0-2,3-1,1-3...) wins the match. From their previous matches, it is known that player A wins a set with a probability of 0.6
a) give the finite state space and draw the state transition diagram.
b) what is the probability that player A wins the match?
c) what is the expected number of sets played in the match?
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