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CRV X doesn't have discrete values, so they are defined with....
Example of CRV :
What is a probability density function (pdf)?
How to plot pdf:
For any CRV, X, P(X=x) always equals....
The total area under a pdf must be exactly.....
A continuous function must be a continuous function across all....
What is the mode of a CRV?
How do we find the mode of a CRV?
The median, Q2, of a CRV, X , is the value that satisfies :
The lower quartile, Q1, is the value that satisfies :
The upper quartile, Q1, is the value that satisfies :
The mean of a CRV is:
DRV vs CRV calculations
(note s.d = root(var(x)) for both)
For continuous random variable, X, Var(ax+b) = ....
For continuous random variable, X, E(ax+b)= ....
For continuous random variable, X, s.d(ax+b) = .....
Note if E(X) = ∫ x(2x^2 /15) dx , then....
For CRV's, DRV's and Poisson distributions, we can combine independent means and variances :
