The density of random variable X is x) 2 :Tx: for D E x E 5 and 0 otherwise. Do computations using the R integrate Function. a) Find the probability that x :> 4 |:| b) Find the probability that 3.5 a x a 4.5 |:| c) Find the expected value of X :l d) Find the variance of X :l e) Find the standard deviation of X :l 1') Find the probability that X is within 1.2 standard deviations of its expected value :I g) [n the following paste your R script for this