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## 21.9 Resampling from histograms

A histogram made by counting events can be regarded as a measurement of
a probability distribution. Allowing for statistical error, the height
of each bin represents the probability of an event where the value of
*x* falls in the range of that bin. The probability distribution
function has the one-dimensional form *p(x)dx* where,
In this equation *n_i* is the number of events in the bin which
contains *x*, *w_i* is the width of the bin and *N* is
the total number of events. The distribution of events within each bin
is assumed to be uniform.