PROBLEM 3. You are interviewing for a summer internship at Froogle. The Froogle recruiter scheduled you for a phone screen with two Froogle engineers that ask you 5 questions each. Suppose you have probability 0.6 of answering any given question correctly, independently of other questions. In order to get the internship, you need to correctly answer at least 3 questions from each of the two Froogle engineers. (a) Identify the sample space of the experiment. (b) Let X be the random variable that is equal to the number of questions you answer correctly. Find the PDF of X. (c) Suppose that you answered exactly 6 questions correctly. Find the probability that you get the internship