You can calculate the mean for a binomial probability distribution by using the following equation:

where:
*n* = the number of trials
*p* = the probability of a success

For Kaylee’s example, the mean of the distribution is as follows:

µ = *np* = (5)(0.3) = 1.5 papers

In other words, Kaylee brings back, on average, 1.5 papers every 5 days.

You can calculate the standard deviation for a binomial probability distribution using the following equation:

where:

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