Common Probability Distributions
1. Normal Distribution:
\( {y = \frac{1}{{\sigma}{\sqrt {2 \pi}}}e^{\frac{-(x - \mu)^2}{2 \sigma}} }\)
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Where:
μ = Mean
σ = Standard Deviation
σ = Standard Deviation
π ≈ 3.141
e ≈ 2.718
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
q = Probability of failure = 1−p
n = Number of trials
P(x) = Probability of x successes in n 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.
P(x) = Probability of x successes.