Please answer the question step by step. Please make sure you understand the question and your asnwers are correct! Thanks!You may round your final answers in 3 decimal places.

The answer a) c = -0.018 b) P(3

a)Find the value of C that makes the above function a proper p.d.f..

b)Hence find P(3X

The probability density function (p.d.f.) of a continuous random variable X is defined to be: fx(I) = Cx(1 -2)2 for 0