**Goals in Hockey** The probability that a hockey team scores a total of goals in a game is as follows: - 1 goal: 0.124 - 2 goals: 0.297 - 3 goals: 0.402 - 4 goals: 0.094 - 5 goals: 0.083 a. Construct the probability distribution for this discrete random variable and draw the graph. c. Find the mean, variance, and standard deviation of this distribution.

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**Goals in Hockey**

The probability that a hockey team scores a total of goals in a game is as follows:

- 1 goal: 0.124
- 2 goals: 0.297
- 3 goals: 0.402
- 4 goals: 0.094
- 5 goals: 0.083

a. Construct the probability distribution for this discrete random variable and draw the graph.

c. Find the mean, variance, and standard deviation of this distribution.
Transcribed Image Text:**Goals in Hockey** The probability that a hockey team scores a total of goals in a game is as follows: - 1 goal: 0.124 - 2 goals: 0.297 - 3 goals: 0.402 - 4 goals: 0.094 - 5 goals: 0.083 a. Construct the probability distribution for this discrete random variable and draw the graph. c. Find the mean, variance, and standard deviation of this distribution.
Expert Solution
Step 1

Given-

X: discrete random variable for the no. of goals scored by the hockey team

X=1,2,3,4,5

 

Step 2
X 1 2 3 4 5
P(X=x) 0.124 0.297 0.402 0.094 0.083

Statistics homework question answer, step 2, image 1

 

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