# How do you find the midpoint of H(-5, 5) and I(7, 3)?

How do you find the midpoint of H(-5, 5) and I(7, 3)?
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takwerkyo0
So ${p}_{m}\left(r,n\right)$ is the probability of finding m cells out of n empty when you scatter $r$ objects randomly among the bins. Now you are trying to find an expression for $m$. Think about how you can get there with $r+1$ objects. You can either have $m$ cells empty with $r$ objects and put the new one in an occupied bin, or you can have $m+1$ cells empty with $r$ objects and put the new one in an unoccupied bin. This should lead you to the equation you want.
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Emma Hobbs
Step 1
$\text{the midpoint is the average of the coordinates of the}$
$\text{endpoints}$
$\text{midpoint of HI}\phantom{\rule{1ex}{0ex}}=\left[\frac{1}{2}\left(-5+7\right),\frac{1}{2}\left(5+3\right)\right]=\left(1,4\right)$