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At the end of a particular season, the data analyst of a hockey team provided the general manager with the following probability distribution of X,

At the end of a particular season, the data analyst of a hockey team provided the general manager with the following probability distribution of X, the team's goal differential (goals for minus goals against) per game that season.

x -3 -2 -1 1 2 3 4 5
P(x) 0.03 0.11 0.16 0.20 0.20 0.13 0.09 0.08

Determine the following probabilities: a. P(X < 0)= b. P(X 3)= c. P(2 < X 2)= d. P(3 < X < 4)= e. P(X < 7)=

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