4. Consider the three athlete's performances shown below in a three event competition. Note that each placed first, second, and third in an event. Who gets the gold medal? Who turned in the most remarkable performance of the com petition? loo-mash Longjump _ __ __ standard deviation _ 5. In a multiple choice quiz there are 5 questions and 4 choices for each question (a, b, c, d).Robin has not studied forthe quiz at all, and decides to randomly guess the answers. What is the probability that (a) the rst question she gets right is the 3'\" question? (b) she gets exactly 3 or exactly 4 questions right? (c) she gets the majority of the questions right? (d) Suppose there are 10 students in the class, and this was a pop quiz that no one studied for. What is the probability that 3 students or more get the majority of the questions right by purely guessing? Should you use normal approximation here? Answer the question using normal approximation. How close are the answers? (e) Suppose there are 100 students in the class instead. What is the probability that 20 students or more get the majority of the questions right by purely guessing?Can you use normal approximation now? Answer the question using normal approximation . How close are the answers