# cdf.Binomial: Evaluate the cumulative distribution function of a Binomial... In distributions3: Probability Distributions as S3 Objects

 cdf.Binomial R Documentation

## Evaluate the cumulative distribution function of a Binomial distribution

### Description

Evaluate the cumulative distribution function of a Binomial distribution

### Usage

```## S3 method for class 'Binomial'
cdf(d, x, drop = TRUE, elementwise = NULL, ...)
```

### Arguments

 `d` A `Binomial` object created by a call to `Binomial()`. `x` A vector of elements whose cumulative probabilities you would like to determine given the distribution `d`. `drop` logical. Should the result be simplified to a vector if possible? `elementwise` logical. Should each distribution in `d` be evaluated at all elements of `x` (`elementwise = FALSE`, yielding a matrix)? Or, if `d` and `x` have the same length, should the evaluation be done element by element (`elementwise = TRUE`, yielding a vector)? The default of `NULL` means that `elementwise = TRUE` is used if the lengths match and otherwise `elementwise = FALSE` is used. `...` Arguments to be passed to `pbinom`. Unevaluated arguments will generate a warning to catch mispellings or other possible errors.

### Value

In case of a single distribution object, either a numeric vector of length `probs` (if `drop = TRUE`, default) or a `matrix` with `length(x)` columns (if `drop = FALSE`). In case of a vectorized distribution object, a matrix with `length(x)` columns containing all possible combinations.

### Examples

```
set.seed(27)

X <- Binomial(10, 0.2)
X

mean(X)
variance(X)
skewness(X)
kurtosis(X)

random(X, 10)

pdf(X, 2L)
log_pdf(X, 2L)

cdf(X, 4L)
quantile(X, 0.7)

cdf(X, quantile(X, 0.7))
quantile(X, cdf(X, 7))
```

distributions3 documentation built on Sept. 7, 2022, 5:07 p.m.