5. In a football match, the winning team is given 2 points, and 0 point for the losing team. If the result is draw, 1 point is given to each team Assume x is the total number of points earned after two matches. (a) Construct a probability distribution function of x. (b) Find E(X) and Var (X) (c) Find the probability thata team wins in both matches.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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In a football match, the winning team is given 2 points, and 0 point for the
losing team. If the result is draw, 1 point is given to each team
Assume X is the total number of points eaned after two matches.
5.
(a) Construct a probability distribution function of x.
(b) Find E(X) and Var (X)
(c) Find the probability thata team wins in both matches.
(d) Evaluate E (2X - 1).
Transcribed Image Text:In a football match, the winning team is given 2 points, and 0 point for the losing team. If the result is draw, 1 point is given to each team Assume X is the total number of points eaned after two matches. 5. (a) Construct a probability distribution function of x. (b) Find E(X) and Var (X) (c) Find the probability thata team wins in both matches. (d) Evaluate E (2X - 1).
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