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A continuous random variable X hasprobabilitydensity functionf(x)={a+bx, 0,elsewhere 0x2 f(x)={a+bx,0x20,elsewhere where a and b are constants. Given that =E[X]=5 4 E[X]=54, find the values of
A continuous random variable X hasprobabilitydensity functionf(x)={a+bx,
0,elsewhere
0x2
f(x)={a+bx,0x20,elsewhere
where a and b are constants. Given that =E[X]=5
4
E[X]=54, find the values of a and b.(5 marks)
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