問題詳情

十五. Consider the famous hat problemn. Suppose that n pcople throw their hats in a box andn each picks one hat at random. (Each hat can be picked by only one person, and cach assiof hats to persons is equally likely) Let X be a random variable that ropresents the number of peoplethat get back their own hat. Which of the following statemnents is/are true?
(A) When n =3, P(X =3)=


(B) When n = 3, P(X = 1)=


(C) When n = 4, P(X = 3) = 0.
(D) When n = 4, E[X] = 2.
(E) When n = 5, E[X] = 1.

參考答案

答案:[無官方正解]
難度:計算中-1
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