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Chap 2 - Random Variables - Coggle Diagram
Chap 2 - Random Variables
Basic Definition
Random Variables
Discrete
countable number of possible outcome
Continuous
uncountable number of possible outcome
Probability Function
PMF - Probability mass function
discrete VA
f (x) = P(X = x)
PDF for Continuous Random Variables
CDF - A cumulative distribution function
F(x) = P(X ≤ x)].
Probability Funtion
Discrete Rancom Variables
Two Properties of PMF
The cumulative distribution function (CDF)
The probability mass function (PMF)
Continuous Random Variables
Probability density function (PDF)
Quantile Functions :warning:
interquartile range
Linear Transformations
:warning:
Four key Moments
Mean( μ)
the Expected value, E(X)
Variance (σ2) and Standard Deviation (σ)
Skewness
Kurtosis
EXPECTATIONS
Definition
the weighted average of possible outcomes
E: the expectations operator;
Properties of Expectation Operator
E(cX) = cE(X)
E(X + Y) = E(X) + E(Y)