The clearance in mm of a certain drill hole , has the following cumulative distribution function F: F(x) = 0 for x 1 a) What is the probability density function for X for 0 S x S 1? Of ( x) = 0.625.x2 _ x0 Of ( x ) = 1.25 - 1.25.x4 Of ( x ) = 2.x Of(x) = 1.25.x2 2 Of(x) = 1.25.x2 - 0.25.x6 6 b) What is the probability that X > 0.5? c) What is the probability X 0.7 ? f) What is the probability that X > 0.7 given that X > 0.5 ? g) Calculate the median of X. h) Calculate the expected value of X? i) Calculate the expected value of X2 ? j) Calculate the variance of X? k) What is the probability that X is more than 0.1 below its expected value