假设某医生每天门诊挂号的病人数为N,是服从参数为a的泊松分布随机变量。又假设每个病人门诊看病的时间也为随机的,均服从参数为b的指数分布随机变量,且相互独立。这名医生总的门诊看病时间为T,则E(T)为()
A. E(X1)
B. E(N)
C. E(X1)+E(N)
D. E(X1)E(N)
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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()
A. 2
B. 4
C. 6
D. 8
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?
A. Yes
B. No