2. Suppose that you and your friend go to a concert in Long Beach. You know that 1 in 200 of the people at the concert will go to UCI (probability of 0.005). You speak to around 50 different people...

Extracted text: 2. Suppose that you and your friend go to a concert in Long Beach. You know that 1 in 200 of the people at the concert will go to UCI (probability of 0.005). You speak to around 50 different people (other than your friend) while you are at the concert. Let X be the number of people you spoke to that also go to UCI. (a) What is the distribution of X? (b) Write the pmf f(x) and describe its parameters. (c) What key assumptions about the people that you spoke to are needed to determine this distribution? (d) What is the expected number of people you speak to that also go to UCI? (e) What is the probability that exactly 3 of the people you speak to go to UCI. Round your answer to 3 sig. fig. (f) What is the probability that you speak to at most 10 people from UCI? (round to 3 decimal places or write an integer as necessary)