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投掷一枚公平的硬币，直至首次出现相继的两个正面停止，则投掷次数的期望为（）
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b) If X and Y have the same parameters, n and p, then X+Y is a binomial random variable.
For each of the following statements, determine whether it is true (meaning, always true) or false (meaning, not always true). Here, we assume all random variables are discrete, and that all expectations are well-defined and finite.1.Let X and Y be two binomial random variables.a) If X and Y are independent, then X+Y is also a binomial random variable.
(c) Let Yₖ denote the result of the kᵗʰ roll. Let X₁=Y₁, and for k≥2, let Xₖ=Yₖ+Yₖ₋₁. Does the sequence X₁,X₂,… satisfy the Markov property?
(b) Let Xₖ denote the number of 6's obtained in the first k rolls, up to a maximum of ten. (That is, if ten or more 6's are obtained in the first k rolls, then Xₖ=10.) Does the sequence X₁,X₂,… satisfy the Markov property?
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