population size of 800 plausible? 2. (30 points) Word problems: for each of the following problems, state the probability distribution you think best models the situation, explain why you think the chosen distribution is appropriate, and present the mean and variance of the distribution chosen. a. (10 points) Students can take an exam all day. The average number of students that take the exam between 10am-11am is 15. Consider the distribution of the number of students that take the exam from 5-8pm. b. (10 points) Students apply for admissions at SDSU. The acceptance rate at SDSU is 35.4% assume independence from person to person. Several thousand students apply to SDSU. Consider the distribution of it taking no more then 1000 applicants to find the first 10 students to be accepted. c. (10 points) A bowler gets a strike 15% of the time. Consider the distribution of the number of throws needed until the bowler makes the first strike