Question: The function F(x)= 1 e'/2 for 0 S x 0 ? :] x/2 for O x < oo and O for O is the CDF

The function F(x)= 1 e"'/2 for 0 S x 0 ? :]

x/2 for O x < oo and O for O is the CDF of a random variable X. The function F(x) Using R: 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 < c) Using F, find the probability that X > d) Using F, find the probability that 083 < X < 285 e) What is the probability density function(in R code) for X > O ?

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