not expected to do the question by hand; I need toprovide the R code that computes the answer, together with the R outpu. so I need this in form of R coding

Questions Note that each student receives different questions! Make sure you answer your questions and not someone else's! 1. /4 marks) If X is a binomially distributed random variable with parameters n = 36 and p = 0.07, find Pr(X 2 4) and Pr(X = 8). 2. /4 marks) If X is a geometrically distributed random variable with parameter p = 0.09, find Pr(X 11) and the value of q such that Pr(X = 2, find Pr(X q) = 0.52. 9. /4 marks) If X is a Gamma-distributed random variable with parameters o = 4.3 and 8 = 1.5, find Pr(X > 1.1) and the value of q such that Pr(X -1.07) and the value of q such that Pr(X 0.13nY > -2.18) and the value of q such that Pr(X > qnY > q) =0.8. Hint: install the R package called mvtnorm