7 (Based on Exercise 20, Section 2.4, Chapter 2, Book-4th Ed-) Let X be a continuous random variable with probability density function: k -1<x<0 f(x)=k(1+6x) 0 < x <1 0 otherwise a. Find the value for k b. Find the cumulative distribution function of X. c. Find the median value of X. d. What is the probability that X is less than 0.02? e. Given that X is less than 0.02, find the probability that X is negative.