Consider the experiment of taking this exam. Suppose we mode…

Consider the experiment of taking this exam. Suppose we model your score for this exam as Y=5X, where X is a discrete uniform random variable over {0,1,…,N}, and N is the total number of questions. Note that X represents a random variable which is the total number of questions you get right. Find

Consider the experiment of taking this exam. Suppose we mode…

Consider the experiment of taking this exam. Suppose we model your score for this exam as Y=5X, where X is a sum of N iid Bernoulli random variables each with parameter p=[p], and N is the total number of questions. Note that X represents a random variable which is the total number of questions you get right. Find the variance of Y.