binocdf — Evaluate the binomial cumulative distribution function.
binocdf(x,n,p) returns the binomial lower-tail probability for x, number of trials n, and success probability p. binocdf(x,n,p,"upper") returns the complementary upper-tail probability.
Syntax
y = binocdf(x, n, p)
y = binocdf(x, n, p, "upper")Inputs
| Name | Type | Required | Default | Description |
|---|---|---|---|---|
x | Any | Yes | — | Evaluation point. |
n | Any | Yes | — | Number of trials. |
prob | Any | Yes | — | Success probability parameter. |
Returns
| Name | Type | Description |
|---|---|---|
y | NumericArray | Distribution function value. |
Errors
| Identifier | When | Message |
|---|---|---|
RunMat:binocdf:InvalidArgument | Inputs are nonnumeric, sizes are incompatible, or too many arguments are supplied. | normal distribution: invalid argument |
RunMat:binocdf:Internal | Internal tensor conversion or allocation fails. | normal distribution: internal error |
How binocdf works
x,n, andpsupport scalar expansion and matching array shapes.- MATLAB-compatible inputs are
singleordouble; typed integers in any numeric input position and logical numeric inputs are independently gated RunMat extensions. - Typed integers retain exact storage until the explicit binary64 distribution boundary and reject when a value is not exactly representable at that boundary.
- A native
singletensor input producessingleoutput; otherwise the probability output isdouble. Runtime-wide scalar-single storage remains a separate compatibility gap. xis floored to the nearest integer count before evaluation.nmust be a nonnegative integer andpmust be in[0,1]; invalid parameters produceNaNoutputs.- The
"upper"form uses the complementary beta expression directly instead of subtracting from one.
Example
Binomial lower and upper tail probabilities
p = binocdf(55,100,0.5)
q = binocdf(55,100,0.5,"upper")Expected output:
p = 0.8644
q = 0.1356Using binocdf with coding agents
Open a RunMat example with live inputs, then ask the agent to explain how binocdf changes the result.
Run a small binocdf example, explain the result, then change one input and compare the output.
FAQ
Does binocdf accept array parameters?⌄
Yes. RunMat expands scalar inputs and otherwise requires x, n, and p to have compatible matching shapes.
Related Stats functions
Summary
boxplot · cdf · cdfplot · chi2cdf · corr · corrcoef · corrcov · cov · cov2corr · dummyvar · ecdf · filloutliers · fitdist · geomean · grpstats · harmmean · icdf · isoutlier · kstest · kurtosis · lsline · mad · mode · nanmax · normalize · normcdf · norminv · normpdf · onehotdecode · onehotencode · pdf · prctile · quantile · refline · rmse · skewness · tabulate · tcdf · tiedrank · tinv · tpdf · ttest2 · wblinv
Ml
bayesopt · classify · confusionmat · crossvalind · cvpartition · fitclinear · fitctree · fitlm · kmeans · knnsearch · lasso · lassoglm · linkage · lscov · mnrfit · optimizableVariable · pdist · pdist2 · perfcurve · predict · regress · ridge · squareform · test · training · tsne
Random
binornd · bootstrp · datasample · dividerand · exprnd · gamrnd · lhsdesign · mvnrnd · normrnd · random · randsample · rng · trnd · unidrnd · unifrnd · wblrnd
Hist
Open-source implementation
Unlike proprietary runtimes, every RunMat function is open-source. Read exactly how binocdf is executed, line by line, in Rust.
- View the source for binocdf in Rust on GitHub
- Learn how the RunMat runtime works
- Found a bug? Open an issue with a minimal reproduction.
About RunMat
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