X is a random variable with an exponential distribution with rate A = 0.3. Thus the pdf of X is f(x) = A 2\".\" for 0 s x where A = 0.3. a) Using the f(X) above and the R integrate function calculate the expected value of X. b) Using the f(x) above and the R integrate function calculate the expected value of X415. c) Using the dexp function and the R integrate function calculate the expected value of x. d) Using the pexp function nd the probability that 1 s x s 3 e) calculate the probability that x > 10 by using the pexp function f) Calculate the probability that X is at least 3 greater than its expected value. Use the pexp function 9) Copy your R script for the above into the text box here. /