1. [-/5 Points] DETAILS The function F(x)= - Using R: 6x-4 for 2 x4 and 0 for x < 2 and 1 for x > 4 is the CDF of a random variable X. 228 a) Using R, create a user-defined function for F(named F) in the interval [0,00). b) Using this F, find the probability that X 2.5 c) Using F, find the probability that X > 3.5 | d) Using F, find the probability that 2.5 < x < 3.5 e) What is the probability density function(in R code) for X between 2 and 4 ? f) Paste your R script in the following box This answer has not been graded yet.