(a) Using the sample function in R (with size = 1000), write a function for estimating the probability that at least two people will have the same birthday in a group of n people, for some integer n...

(a) Using the sample function in R (with size = 1000), write a function for estimating the probability that at least two people will have the same birthday in a group of n people, for some integer n [11].

(b) Write a parallel code that estimates this probability for n from 1 to 100.