b) An important factor in solid missile fuel is the particle size distribution. Based on the production data in the past, it has been determined that the particle size (in micrometers) distribution, X is having the following probability density function. F(x) = [12x3(1-x) ;05x=1 ;others i) State the type of the random variable X and calculate the expected value of X. (4 marks) ii) Find P(X