40145/negative-binomial-distribution-in-r-programming

Why do I get a different answer when I use the density function?

pnbinom(3,2,.5) #[1] 0.8125 a=dnbinom(5,0,0.5)+dnbinom(4,1,.5)+dnbinom(3,2,.5) a #[1] 0.15625

You can try this:

pnbinom(3,2,0.5) sum(dnbinom(0:3,2,0.5))

Here's the output:

> pnbinom(3,2,0.5) [1] 0.8125 > > sum(dnbinom(0:3,2,0.5)) [1] 0.8125

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