Please use R coding. Please show all your R codes and outputs. Please calculate when asked to.

2) Standard Normal Distribution a) Compute a Monte Carlo estimate of the standard normal cdf with sample size n = 10, 000 1' 1 2 (11(93) 2 / e't7 dt 700 271' separately for m = 1.644854 and cc = 1.959964. (hint: use the fact that the standard normal distribution is symmetric around a mean of 0.) b) Calculate a 95% condence interval for the true value of the integral