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Theprobabilitydensity function of a random variable X is given byf(x)={4x(1x 2 ), 0,elsewhere 0xa f(x)={4x(1x2),0xa0,elsewhereFind (i) the constant a (2 marks) (ii)Pr(1 4 X1 2

Theprobabilitydensity function of a random variable X is given byf(x)={4x(1x

2

),

0,elsewhere

0xa

f(x)={4x(1x2),0xa0,elsewhereFind

(i) the constant a(2 marks)

(ii)Pr(1

4

X1

2

)

Pr(14X12)(2 marks)

(iii)Var[5X-3](3 mark

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