the probability that there are x successes in n trials where the probability of success on any trial is B( n, p) when cum = FALSE and the corresponding cumulative probability distribution value F( x) (i.e. Excel Worksheet FunctionsĮxcel provides the following functions regarding the binomial distribution:īINOM.DIST( x, n, p, cum) = the probability density function value f( x) for the binomial distribution (i.e. That the graph looks a lot like the normal distribution is not a coincidence (see Relationship between Binomial and Normal Distributions) Mean and VarianceĬlick here for a proof of Property 1. See Figure 2 of Built-in Excel Functions for more details about this function.įigure 1 shows a graph of the probability density function for B(20.
Where C( n, x) = and n! = n( n –1)( n –2)⋯3∙2∙1 as described in Combinatorial Functions.Ĭ( n, x) can be calculated by using the Excel function COMBIN( n,x). Then the probability distribution function for x is called the binomial distribution, B( n, p), whose frequency function (aka probability density function) is Let x be the discrete random variable whose value is the number of successes in n trials.
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