exercise:2cc3ae43c1: 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 study of the strengths of Ivy League football teams shows that if a school has a strong team one year it is equally likely to have a strong team or average team next year; if it has an average team, half the time it is average next year, and if...") |
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weak; if it is weak it has 2/3 probability of remaining so and 1/3 of becoming | weak; if it is weak it has 2/3 probability of remaining so and 1/3 of becoming | ||
average. | average. | ||
<ul><li> A school has a strong team. On the average, how long will it be | <ul style="list-style-type:lower-alpha"><li> A school has a strong team. On the average, how long will it be | ||
before it has another strong team? | before it has another strong team? | ||
</li> | </li> | ||
Latest revision as of 01:16, 15 June 2024
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A study of the strengths of Ivy League football teams
shows that if a school has a strong team one year it is equally likely to have a strong team or average team next year; if it has an average team, half the time it is average next year, and if it changes it is just as likely to become strong as weak; if it is weak it has 2/3 probability of remaining so and 1/3 of becoming average.
- A school has a strong team. On the average, how long will it be before it has another strong team?
- A school has a weak team; how long (on the average) must the alumni wait for a strong team?