1. There are currently 58 COVID-19 vaccines under development. Assume that 20% of all potential COVID-19 vaccines get approved and that vaccines are approved independently of one another. Let X represent the number of the 58 vaccines under development that are approved. A. What is the true probability distribution of X? B. What probability distribution can be used to approximate the probability distribution of X? Using this approximation, nd the probability at least 10 of the 58 vaccines being developed will get approved. 2. A random sample of 1000 university students was selected and asked what type of course delivery they prefer, online or in-person. Assume the true proportion of students who prefer online delivery is 10%, and let represent the proportion of students in this sample who prefer online delivery. A. What is the approximate sampling distribution of I3? B. Use your answer from part A to approximate the probability that the sample proportion of students who prefer online delivery is less than 8%