Question: 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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