135****45532025-04-18 00:36:24
X和Y的期望怎么计算?
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黄石2025-04-22 11:03:49
同学你好。首先要找到X和Y的无条件概率(也就是marginal probability)。对于X,其每个取值对应的无条件概率就是每行概率的加总。Pr(X = -50) = 1.97% + 3.90% + 0.8% + 0.1% = 6.77%;Pr(X = 0) = 3.93% + 23.5% + 12.6% + 2.99% = 43.02%;Pr(X = 10) = 0.8% + 12.7% + 14.2% + 6.68% = 34.38%;Pr(X = 100) = 0% + 3.09% + 6.58% + 6.16% = 15.83%。E[X] = 6.77%*-50 + 43.02%*0 + 34.38%*10 + 15.83%*100 = 15.8830 million。E[Y]的做法也是一样的。
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