Probability

Geometric Distribution

Compute P(X=k) = (1−p)^(k−1)·p — the probability that the first success occurs on trial k. Includes CDF, mean 1/p, and variance.

Live Calculator · Step-by-Step · Probability
Inputs
Result
Result
Enter values and calculate.
P(X = k)
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P(X ≤ k)
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= 1−(1−p)^k
P(X > k)
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= (1−p)^k
Mean μ
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= 1/p
Variance σ²
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= (1−p)/p²
Std Dev σ
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Step-by-Step Work

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Geometric PMF — P(X = k) for k = 1..20