question archive The following three games are scheduled to be played at the World Curling Championship one morning
The following three games are scheduled to be played at the World Curling Championship one morning
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The following three games are scheduled to be played at the World Curling Championship one morning. The values in parentheses are the probabilities of each team winning their respective game.
Game 1: Finland (0.2) VS. Canada (0.8)
Game 2: USA (0.3) VS.Switzerland (0.7)
Game 3: Germany (0.4) VS. Japan (0.6)
(a) The outcome of interest is the set of winners for each of the three games. List the complete sample space of outcomes and calculate the probability of each outcome.
(b) Let X be the number of European teams that win their respective games. Find the probability distribution of X.
(c) Find the expected value and variance of X.
(d) If two European teams win their games, what is the probability that Finland is one of them?
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