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The MIT soccer team has 2 games scheduled for one weekend.
Chapter , Problem 1(choose chapter or problem)
The MIT soccer team has 2 games scheduled for one weekend. It has a 0.4 probability of not losing the first game. and a 0.7 probability of not losing the second game, independent of the first. If it does not lose a particular game, the team is equally likely to win or tie. independent of what happens in the other game. The MIT team will receive 2 points for a win, 1 for a tie. and 0 for a loss. Find the PMF of the number of points that the team earns over the weekend.
Questions & Answers
QUESTION:
The MIT soccer team has 2 games scheduled for one weekend. It has a 0.4 probability of not losing the first game. and a 0.7 probability of not losing the second game, independent of the first. If it does not lose a particular game, the team is equally likely to win or tie. independent of what happens in the other game. The MIT team will receive 2 points for a win, 1 for a tie. and 0 for a loss. Find the PMF of the number of points that the team earns over the weekend.
ANSWER:Step 1 of 2
Given that,
The MIT soccer team has 2 games scheduled for one weekend.
It has a 0.4 probability of not losing the first game. and a 0.7 probability of not losing the second game, independent of the first. If it does not lose a particular game, the team is equally likely to win or tie. independent of what happens in the other game. The MIT team will receive 2 points for a win, 1 for a tie. and 0 for a loss.
It is required to find the PMF of the number of points that the team earns over the weekend.
Let X be a random variable assuming the scores of MIT soccer team over the weekend.
Also,
Suppose for a particular 
