Geometric random variable P(X = n) =(1-p)^(n-1) p, holds?
- Independent trails and n = 0, 1, 2, 3,......
- Independent trails and n = 1, 2, 3,.....
- Dependent trails and n = 0, 1, 2, 3.....
- Dependent trails and n = 1, 2, 3,.....
Explanation
The geometric distribution is a probability distribution that models the number of independent trials until a first success, where each trial has a constant probability of success (p).The probability mass function is:
P(X = n) = (1 - p)^(n-1) p
This formula holds for independent trials, and n starts from 1 (not 0).
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