A soccer team has 2 games scheduled for the weekend. It has a 0.4 probability of not losing the first game and a 0.7 probability of not losing the second game, independently of the first. If it does not lose a particular game, the team is equally likely to win or tie, independently of what happens in the other game, The team will receive 2 points for a win 1point for a tie, and Opoints for a loss. Find the pmf of the number of points that the team earns over the weekend.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A soccer team has 2 games scheduled for the weekend. It has a 0.4 probability of not losing the first game and a 0.7
probability of not losing the second game, independently of the first. If it does not lose a particular game, the team is
equally likely to win or tie, independently of what happens in the other game, The team will receive 2 points for a win
1point for a tie, and Opoints for a loss. Find the pmf of the number of points that the team earns over the weekend.
Transcribed Image Text:A soccer team has 2 games scheduled for the weekend. It has a 0.4 probability of not losing the first game and a 0.7 probability of not losing the second game, independently of the first. If it does not lose a particular game, the team is equally likely to win or tie, independently of what happens in the other game, The team will receive 2 points for a win 1point for a tie, and Opoints for a loss. Find the pmf of the number of points that the team earns over the weekend.
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