**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.
**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.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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
Step 2
X | 1 | 2 | 3 | 4 | 5 |
P(X=x) | 0.124 | 0.297 | 0.402 | 0.094 | 0.083 |
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