Mathematics, 17.07.2020 07:01 101shelsyroman

LetXbe a continuous random variable with densityf(x) ={3e−3x, whenx >0,0,elsewhere.(a) Verify thatfis a density function.(b) CalculateP(−1< X <1).(c) CalculateP(X <5).(d) CalculateP(2< X <4|X <5).(e) Find the cumulative distribution function ofX.(f) Find theEXandEe2X.(g) Find the variance ofX.

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