Bernoulli Distribution

Tags: #Math #Statistics

Equation

$$Pr(X=1) = p = 1- Pr(X=0) = 1 - q, \\ f(x)=p \text{ if } k = 1 \text{ else } q \text{ if } k = 0$$

Latex Code

                                 Pr(X=1) = p = 1- Pr(X=0) = 1 - q, \\
f(x)=p \text{ if } k = 1 \text{ else } q \text{ if } k = 0
                            

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Introduction

Equation


$$Pr(X=1) = p = 1- Pr(X=0) = 1 - q$$ $$f(x)=p \text{ if } k = 1 \text{ else } q \text{ if } k = 0$$

Latex Code

            Pr(X=1) = p = 1- Pr(X=0) = 1 - q, \\
            f(x)=p \text{ if } k = 1 \text{ else } q \text{ if } k = 0
        

Explanation

Latex code for the Bernoulli Distribution.

  • Probability parameter: $$p, q$$
  • PDF for Bernoulli Distribution: $$f(x)=p \text{ if } k = 1 \text{ else } q \text{ if } k = 0$$
  • CDF for Bernoulli Distribution: $$0 \text{ if } k < 0, 1-p \text{ if } 0 \le k \lt 1, 1 \text{ if } k \ge 1$$

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