Link : AMR12H

Category : Maths, probability and expectation

Solution : If f(x) is the Random Distribution Function of a random variable X and g(x) is the RDF of RV Y then

RDF of min(X,Y) is f(x)*g(x)

RDF of max(X,Y) is f(x)+g(x)-f(x)*g(x)

Then the expected value of the expression formed is integral over [0,1]

Code:

Category : Maths, probability and expectation

Solution : If f(x) is the Random Distribution Function of a random variable X and g(x) is the RDF of RV Y then

RDF of min(X,Y) is f(x)*g(x)

RDF of max(X,Y) is f(x)+g(x)-f(x)*g(x)

Then the expected value of the expression formed is integral over [0,1]

Code:

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