c++ random number generators

need help using uniform random variables to apply central limit theorem to create normal random variables with zero mean and unity variance. a few quantity of samples should be enough. would like to use 12 and 24 for different problems. Also need help using 50 random variables to generate and arbitrary number of N normal random variables with mean = sqrt(3) and variance = 30. use 10,000 samples. also same problem with sqrt(5) and variance 23, generate 10,000 samples. calculate mean/variance for both. ## Deliverables 1) Complete and fully-functional working program(s) in executable form as well as complete source code of all work done. 2) Installation package that will install the software (in ready-to-run condition) on the platform(s) specified in this bid request. 3) Complete ownership and distribution copyrights to all work purchased. ## Platform c++