1) In the coming match of the home team Manchester United against the away team Fulham in the English Premier League, it is expected that the probabilities of a win, a ddraw and a loss to the home team are 0.6, 0.3 and 0.1 respectively.
[In every match of the English Premier League, a win has 3 points, a draw has 1 point and a loss has no point. ]
a)Find the expected value of the points gained by the home team.
b)Find the expected value of the points gained by the away team.
f.3 math ( Introduction to Probability) 5分
2007-03-06 3:20 am
回答 (1)
2007-03-06 3:59 am
✔ 最佳答案
expected value of the points gained by the home team=0.6*3+0.3*1+0.1*0
=1.8+0.3+0
=2.1
Change this statement for the away team:
it is expected that the probabilities of a win, a ddraw and a loss to the home team are 0.6, 0.3 and 0.1 respectively.
that is:
it is expected that the probabilities of a win, a ddraw and a loss to the home team are 0.1, 0.3 and 0.6 respectively.
so expected value of the points gained by the away team
=0.1*3+0.3*1+0.6*0
=0.3+0.3
=0.6
參考: myself
收錄日期: 2021-04-23 21:08:28
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