Suppose that a box contains 30 blue blocks and 20 yellow blocks, and we randomly pick 5 blocks fromthe box. Let X be the random variable denoting the number of blue blocks that are picked. Consider thefollowing two situations:(a) We choose the 5 blocks with replacement.(i) Does X follow a Binomial or a Hypergeometric distribution?(ii) What is the probability mass function (PMF) for X?(iii) What is the Expected value, Variance, and Standard deviation of X?(b) We choose the 5 blocks without replacement.(i) Does X follow a Binomial or a Hypergeometric distribution?(ii) What is the probability mass function (PMF) for X?(iii) What is the Expected value, Variance, and Standard deviation of X?