Question

The US National Soccer Team (known as "football" in much of the rest of the world) schedules a home-and-home series with the German team, where each team plays one game in their home country. A win is worth 3 points, a loss is worth 0 points, and a tie is worth 1 point. The probability mass function for these variables in the two-game series is given in the following probability table. Answer the following questions, showing and explaining your work: (a) What is the probability that the USA does not win at least one game? (b) What is the marginal distribution for the USA's points at Home? (c) Is the event that USA loses at home independent of the event that they tie away?

          The US National Soccer Team (known as "football" in much of the rest of the world) schedules a home-and-home series with the German team, where each team plays one game in their home country. A win is worth 3 points, a loss is worth 0 points, and a tie is worth 1 point. The probability mass function for these variables in the two-game series is given in the following probability table.

Answer the following questions, showing and explaining your work:
(a) What is the probability that the USA does not win at least one game?
(b) What is the marginal distribution for the USA's points at Home?
(c) Is the event that USA loses at home independent of the event that they tie away?

the us national soccer team known as football in much of the rest of the world schedules a home and home series with the german team where each team plays one game in their home country a wi 45965

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