Binomial Distribution

A learning component for calculating probabilities of a binomial distribution.

Options

hideCDF | boolean: controls whether to hide the CDF display. Default: false.
step | (number|string): step size of the scroll input. Default: 0.01.
style | object: CSS inline styles. Default: {}.

Live Editor

<LearnBinomialDistribution />

<LearnBinomialDistribution />

Result

For n = trials and a success probability of p = we get

P (X = x) = (\binom{10}{x}) {0.5}^{x} {0.5}^{10 - x}

Evaluated at x = we get

P (X = 0) = (\binom{10}{0}) {0.5}^{0} {0.5}^{10 - 0} \approx 0.0010

Number of trials (n):

Success probability (p):

x0:
010

P (X \leq 0) = 0.001

Number of trials (n):

Success probability (p):

x0:
010

P (X > 0) = 0.999

Number of trials (n):

Success probability (p):

x0:
010

x1:
010

P (0 \leq X \leq 1) = 0.0107