Question 3

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 from 0 to 1 or vice versa). Assume that the probability that any bit gets corrupted is 1%, and that this process is independent for each bit. 1. (10 points) On average, how many bits will get corrupted in a single packet sent across the channel? 2. (10 points) What is the probability that at least one bit in a single packet is corrupted? Problem 4 (15 points). The random variable X has a continuous distribution defined by the density function f() . in the plot, below