Geometric Distribution
Tags: #Math #StatisticsEquation
$$Pr(X=k) = (1-p)^{k-1}q, \\ f(x)=(1-p)^{k-1}q, \\ F(x)=1 - (1-p)^{[x]}$$Latex Code
Pr(X=k) = (1-p)^{k-1}q, \\
f(x)=(1-p)^{k-1}q, \\
F(x)=1 - (1-p)^{[x]}
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Introduction
Equation
$$Pr(X=k) = (1-p)^{k-1}q$$ $$f(x)=(1-p)^{k-1}q$$ $$F(x)=1 - (1-p)^{[x]}$$
Latex Code
Pr(X=k) = (1-p)^{k-1}q, \\
f(x)=(1-p)^{k-1}q, \\
F(x)=1 - (1-p)^{[x]}
Explanation
Latex code for the Geometric Distribution.
- Probability parameter p means the success probability of each trial: $$p$$
- The number of total trials until the first successful trial k: $$k$$
- PDF for Geometric Distribution: $$f(x)=(1-p)^{k-1}q$$
- CDF for Geometric Distribution: $$F(x)=1 - (1-p)^{[x]}$$
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