The geometric distribution calculator determines the probabilities, mean, variance, and standard deviation of a given distribution.
The probability P(X = k) and P(X < k) can be found using the following formula:
P(X = k) = (1  p)^{k} × p
P(X < k) = P(X = 1) + P(X = 2) + P(X = 3) + ... + P(X = k)
The mean, variance, and standard deviation for the geometric distribution are calculated using the following formulas:
Mean (μ) = 

Variance (σ^{2}) = 

SD (σ) =  √ 

Where,
p = Probability of Success,
k = Number of Trials,
SD = Standard Deviation.