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For i∈{1,2,3,4},pᵢᵢ=______

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For i∈{1,2,3,4,5},pᵢ,ᵢ₋₁=______

PROBLEM 2: OSCAR'S RUNNING SHOES Oscar goes for a run each morning. When he leaves his house for his run, he is equally likely to use either the front or the back door; and similarly, when he returns, he is equally likely to use either the front or the back door. Assume that his choice of the door through which he leaves is independent of his choice of the door through which he returns, and also assume that these choices are independent across days.Oscar owns only five pairs of running shoes, each pair placed at one of the two doors. If there is at least one pair of shoes at the door through which he leaves, he wears a pair for his run; otherwise, he runs barefoot. When he returns from his run, if he wore shoes for that run, he takes off the shoes after the run and leaves them at the door through which he returns.We wish to determine the long-term proportion of time that Oscar runs barefoot.1.We consider a Markov chain with states {0,1,2,3,4,5}, where state i indicates that there are i pairs of shoes available at the front door in the morning, before Oscar leaves for his run. Specify the numerical values of the following transition probabilities.a)For i∈{0,1,2,3,4},pᵢ,ᵢ₊₁=______

2017年,A省完成高铁客运量17872万人次,旅客周转量474.64亿人公里,同比分别增长20.3%和18.1%。高铁客运量和旅客周转量分别占铁路旅客运输总量62.7%和54.3%,比重比上年分别提高4.3个和3.9个百分点。2016年,A省高铁客运量约为普铁（除高铁外的铁路）客运量的______ 倍。（保留1位小数）

下列选项与“不以规矩,不能成方圆”的逻辑推论相符的是( )

A. 只有遵循合理的道德行为规范,社会才能正常运转
B. 若遵循合理的道德行为规范,社会则能正常运转
C. 除非遵循合理的道德行为规范,否则社会不能正常运转
D. 凡是能够正常运转的社会,它都应该是遵循合理的道德行为规范的