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Next: Infinitesimals in probability Up: Continuous distributions Previous: Continuous distributions   Contents

Problem

Professor Snodgrass has a theory that right after a lawn is mowed, its probability density looks like:

\begin{figure}\begin{center} . \epsfig{width=.4\textwidth,file=const.eps} \end{center}\end{figure}

That is, ${1\over 2}$ for $5<length<7$, and 0 everywhere else. What's the probability that a blade of grass you measure will have a length between $2.5$ and $3$? How about between $5.5$ and $5.75$? How about between $5.5$ and $5.51$? Hint: if this isn't completely obvious to you, then read on and answer it later.


josh 2010-10-20