exercise:Fd190e1214: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> A process moves on the integers 1, 2, 3, 4, and 5. It starts at 1 and, on each successive step, moves to an integer greater than its present position, moving with equal probability to each of the remaining larger integers. State five is an absor...") |
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\newcommand{\mathds}{\mathbb}</math></div> A process moves on the integers 1, 2, 3, 4, and 5. It | \newcommand{\mathds}{\mathbb}</math></div> A process moves on the integers 1, 2, 3, 4, and 5. It starts at 1 and, on each successive step, moves to an integer greater than its present position, moving with equal probability to each of the remaining larger integers. State five is an absorbing state. Find the expected number of steps to reach state five. | ||
starts at 1 and, on each successive step, moves to an integer greater than its | |||
present position, moving with equal probability to each of the remaining larger | |||
integers. State five is an absorbing state. Find the expected number of steps | |||
to reach state five. | |||
Latest revision as of 22:02, 15 June 2024
[math]
\newcommand{\NA}{{\rm NA}}
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\newcommand{\mathds}{\mathbb}[/math]
A process moves on the integers 1, 2, 3, 4, and 5. It starts at 1 and, on each successive step, moves to an integer greater than its present position, moving with equal probability to each of the remaining larger integers. State five is an absorbing state. Find the expected number of steps to reach state five.