5個(gè)工作日獲利 X 萬(wàn)元,X = 5,2.5,0,-1
P(X=5) = (1-0.1)^5 = 0.59049
P(X=2.5) = C(5,1) * 0.1^1 * (1-0.1)^4 = 0.32805
P(X=0) = C(5,2) * 0.1^2 * (1-0.1)^3 = 0.0729
P(X=-1) = C(5,3) * 0.1^3 * (1-0.1)^2 + C(5,4) * 0.1^4 * (1-0.1) + C(5,5) * 0.1^5
= 0.00856
這臺(tái)機(jī)器一周內(nèi)可獲利的均值 E(X) = 5*P(X=5)+2.5*P(X=2.5)+0+(-1)*P(X=-1)
= 5*0.59049 + 2.5*0.32805 - 0.00856
= 3.764015
這臺(tái)機(jī)器一周內(nèi)可獲利的均值是 37640.15元