Question: The function F(x)= Using R: 4 6x-4 228 for 2 x4 and 0 for x < 2 and 1 for x > 4 is

The function F(x)= Using R: 4 6x-4 228 for 2 x4 and 0 for x < 2 and 1 for x > 4 is the CDF of a random variable X. a) Using R, create a user-defined function for F(named F) in the interval [0,). 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

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