LetXbe a continuous random variable with densityf(x) ={3e−3x,whenx >0,0,elsewhere.(a) Verify thatfis a density function.(b) C
alculateP(−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.
