Math  /  Data & Statistics

Question5. Let XX be a random variable from an exponential distribution with parameter 3 . Calculate the variance of variable Z=3X4Z=3 X-4. Is variable Y=2XY=\frac{2}{X} continuous? If yes, find the density.

Studdy Solution
Podsumowując, wariancja zmiennej Z Z wynosi 1, a gęstość prawdopodobieństwa zmiennej Y Y to:
fY(y)=6y2e6y,y>0f_Y(y) = \frac{6}{y^2} e^{-\frac{6}{y}}, \quad y > 0

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