binomial distribution

• To: mathgroup at smc.vnet.net
• Subject: [mg16895] binomial distribution
• From: "Robert Wright" <robert.wright4 at virgin.net>
• Date: Mon, 5 Apr 1999 02:24:28 -0400
• Sender: owner-wri-mathgroup at wolfram.com

```Can someone explain how I can solve for 'c' or 'n' given the other variables
in this equation: its the binomial form for calculation the operating
characteristic in acceptance sampling. The problem is that 'c' and 'n' are
discrete and therefore 'Findroot' or 'NSolve' do not work.

The other problem is that it takes a long time to evaluate 'PrBinomial' for
large 'c' and 'n'.... is there a better way of calculating?

\!\(PrBinomial[c_, \ n_, p_] := \
Sum[\ Binomial[n, k]\ \(\((1 - p)\)\^k\) p\^\(n - k\), {k, 0, c}] // N\)

Thanks

```

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