Problem 2

oard X . WEBCAM REC maining Time: 1 hour, 16 minutes, 56 seconds. estion Completion Status: 0.5 1.5 2.5 Value of x 1. (5 points) Is the distribution symmetric, right-skewed, or left-skewed? 2. (5 points) Let & denote the sample mean and denote the sample median. Which is larger, a or a ? Problem 2 (10 points). A multiple choice test has Q questions. Each question consists of C 2 2 possible options. If you guess on every question, your total score follows a Binomial(n, p) distribution. 1. (3 points) What is n ? 2. (3 points) What is p ? 3. (4 points) How many questions do you expect to get right? How does the number of questions affect your expected score? How does the number of possible options per question affect your expected score? Problem 3 (20 points). Computers communicate to each other by exchanging binary data packets. In a standard system, computers exchange sequences of 10 bits per packet. A "bit" is a single unit of data, encoded either as 0 or as 1. Packets are exchanged through a lossy communication channel, which means that during transmission, there is a chance that bits are corrupted (that is, switched