Suppose that X is a continuous random variable with probability density function given by: f(x) = {\\begin{array}{c}\\\{x\end\frac{array}{8}{, } , x \in [0{, }2) . ; \frac{1}{4}{, } , x \in [2{, }4) . ; −\frac{x}{8} + \frac{3}{4}{, } , x \in [4{, }6) . ; } Find the mean of X.

AAI ATC Junior Executive 27 Jul 2022 Shift 1 Paper

Question : 70 of 120

Marks: +1, -0

Suppose that X is a continuous random variable with probability density function given by:
f(x) =

{\{\table \;{x}/{8}{, \;} , x ∈ [0{, \;}2) . ; \;{1}/{4}{, \;} , x ∈ [2{, \;}4) . ; −\;{x}/{8} + \;{3}/{4}{, \;} , x ∈ [4{, \;}6) . ; }

Find the mean of X.

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