Answer Happy

You manage a production line of biosimilar drug in a pharmaceutical company The process requires many interdependent steps to produce 1 batch of drugs Each day you deliver either 0,1 or 2 batches. The number of batches delivered each day is stochastic, and the probabilities depend upon the number of batches delivered the day before. The probabilites are given by the following transition matrix: 0 1 2 0 7/8 1/8 0 P = 1 1/8 6/8 1/8 2 LO 1/8 7/8 1. (2 points) You are coming back from vacation tomorrow, day 1. You know that there was 1 batch delivered today, day 0. What is the probability distribution for the number of batches you deliver tomorrow, day 1? 2. (5 points) You get new information which tells you that there is an even probability of delivering 0, 1 or 2 batches today, day . What is the probability that you deliver 1 batch on day 3? 3. (3 points). You will need to shut down production on day 4 for cleaning, What is the probability you can deliver 2 batches on day 5? 4. (5 points) Assume that the production line can go on indefinitely. What is the limit distribution for the number of batches? (distribution after infinite days)