列表:
ξ 0 1 2 3 4
P (2/3)^4 C41(1/3)(2/3)³ C42(1/3)²(2/3)² C43(1/3)³(2/3) (1/3)^4
所以,ξ的数学期望为:
Eξ=0*(2/3)^4+1*C41(1/3)(2/3)³+2*C42(1/3)²(2/3)²+3*C43(1/3)³(2/3)+4*(1/3)^4=4/3
三分之四
三分之一