# Common Probability Distributions

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• Common Probability Distributions
##### 1. Normal Distribution:

$${y = \frac{1}{{\sigma}{\sqrt {2 \pi}}}e^{\frac{-(x - \mu)^2}{2 \sigma}} }$$

​Where:

μ  = Mean

σ  = Standard Deviation
π ≈ 3.141

e ≈ 2.718

##### ​2. Binomial Distribution:

$${P(x)} = ^{n}{C_x}.{p^x}.{q^{n-x}}$$

​Where:

p = Probability of success

q = Probability of failure =  1−p
n = Number of trials

P(x) = Probability of x successes in n trials
##### ​3. Poisson Distribution:

$${P(x)} = {e^{-m}}.\frac{m^x}{x!}​$$

​Where:

m = Probability of success

P(x) = Probability of x successes.

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