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Recruitment probability problem
P(ξ=0)=( 1- 13)? ( 1-p)= 12,
∴ 1-p=34,∴p= 14,
The possible values of ξ are 0, 1 2,
P(ξ=0)= 12,
P(ξ= 1)= 13×( 1? 14)+( 1? 13)× 14=5 12,
p(ξ= 2)= 13× 14 = 1 12,
∴eξ=0× 12+ 1×5 12+2× 1 12=7 12,
So the answer is: 7 12.
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