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Q The Stanley Cup Finals is a best of seven championship series for the National Hockey League (NHL). The frequency table displays the number of games played each year between 1939 and 2019. Please note that the Stanley Cup Finals did not take place in the 2004-2005 season due to an NHL lockout. x (games played) Frequency 4 20 5 19 6 23 7 17 a. (2pts)Define the random variable X in this scenario.

Q 10pts)Build a probability distribution for the random variable. Show that the criteria for a valid distribution have been met. c. (5pts)Compute the expected value of the random variable. Interpret the value in context.

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Random variable X is the number of games played each year in the Stanley Cup Finals.n=79 x (games played) P(x) 4 20/79=0.25 5 19/79=0.24 6 23/79=0.29 7 17/79=0.22 This is a valid probability distribution because all the probabilities is between 0 and 1, inclusive, and the sum of the probabilities is exactly 1.

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