The Sports Associates Vending Company supplies refreshments at a baseball stadium and must plan for the possibility of a World Series contest. In the accompanying frequency table (based on past results), x represents the number of baseball games required to complete a World Series contest.
a. Construct the corresponding relative frequency table.
b. Does the result from part (a) describe a probability distribution? Why or why not?
c. Based on the past results, what is the probability that the next World Series contest will last at least 5 games?
d. If two different series included in the table are randomly selected, find the probability that they both lasted 7 games.
e. Find the mean number of games for the World Series contests included in the table.
f. Find the standard deviation for the number of games for the World Series contests included in the table.
g. What is the expected number of games for a World Series contest? If a vendor supplies hot dogs to both stadiums involved, and if each stadium averages 30,000 hot dogs sold per game, what is the expected number of hot dogs that will be required?

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