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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,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,X, the team's goal differential (goals for minus goals against) per game that season.

xx

-3 -2 -1 1 2 3 4 5

P(x)P(x)

0.02 0.13 0.26 0.29 0.16 0.07 0.04 0.03

Determine the following probabilities:

a. P(X<0)=P(X<0)=

b. P(X3)=P(X3)=

c. P(2

d. P(3

e. P(X<7)=P(X<7)=

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