Math Is Fun Forum

Carisma

Member

Registered: 2010-01-08

Posts: 10

Question about Cumulative distribution/Probability density functions

The random variable X metres represents the ase of a rectangle of area 1metre^2. The height is represented by the random variable Y metres. X has uniform probability density 1 over the interval 0<X<1.

Deduce the cumulative distribution function for the height, G(y) = P(Y<y).

Thank you for helping in advance

George,Y

Member

Registered: 2006-03-12

Posts: 1,379

Re: Question about Cumulative distribution/Probability density functions

so Y=1/X when X~U(0,1)

P(Y<y)=P(1/X<y)=P(X>1/y)=1-1/y

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X'(y-Xβ)=0