The function F(x)= 1- e-x-xe-x for 0 < x < ∞ and 0 for x< 0 is the CDF of a random variable X. Using R: a) Using R, create a user-defined function for F(named F) in the interval [0,0). b) Using this F, find the probability that X ≤ 6 c) Using F, find the probability that X > 6 d) Using F, find the probability that 2 < X < 4

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