I need some help with this homework question which requires the use of the R program. I have attached a snip of the question and examples given

I have entered some but in doubt, with the results, I am getting:

Suppose X has a standard normal distribution. The pnorm(), dnorm(), and qnorm() functions should be useful in the following. Remember, if X has a standard normal distribution then E(X) = 0 and Var(X)=1. . 9 a) What is the expected value of 3X+3 ? C] . . 9 b) What Is the variance of 3X+3 ? c) Using R, find the expected value of x5 3 7 d) Using R, calculate the probability X > 0.4) 0.6554217 e) Using R, calculate the probability that 2 -0.3). e) Using R calculate the probability P(-2 -0. 3) ## [1] 0. 6179114 pnorm( - .3, lower . tail=FALSE) #d another way ## [1] 0. 6179114 pnorm( - . 34) -pnorm( -2.00) #e P(-2 0 0