QUESTION 1 a) It is now known the average rate of infection from the spread of corona virus endemic in a certain city daily is 2. Assume a suitable distribution to model the process. (CR:3) b) Write a matlab program for model the probability of infection for the next 15 days. (CR:9) c) Run as simulated plot for the Probability distribution and Cumulative distribution from the program above. (CR:9) d) Using Simulation model estimate the probability that 3 people will infected in the next two days. (AP:4) TOTAL [25 marks] QUESTION 2 a) :) Based on a graph of the probability distribution (Q1d) indicate the probability that 3 persons will contract the virus in a given day EV(4) 11) Find the mean and standard deviation of the number of infections from (01) in the past three days. (Ap: 5) b) The recent global climate change has necessitated the need for a new model for predicting weather patterns. Two scientists who 2 were modeling this process in Ghana ended up with two different system models. 1) What could be the possible reason(s) for the differences in their system model? Justify your answer. (EV:6) ii) In relation to real world data from the process how can you select the best model to employ for subsequent simulations and prediction of the process? QUESTION 2 a) i) Based on a graph of the probability distribution (Qld) indicate the probability that 3 persons will contract the virus in a given day EV(4) ii) Find the mean and standard deviation of the number of infections from (Q1) in the past three days. (Ap; 5) b) The recent global climate change has necessitated the need for a new model for predicting weather patterns. Two scientists who 2 were modeling this process in Ghana ended up with two different system models. i) What could be the possible reason(s) for the differences in their system model? Justify your answer. (EV;6) ii) In relation to real world data from the process how can you select the best model to employ for subsequent simulations and prediction of the process? (CR; 10) QUESTION 1 a) It is now known the average rate of infection from the spread of corona virus endemic in a certain city daily is 2. Assume a suitable distribution to model the process. (CR:3) b) Write a matlab program for model the probability of infection for the next 15 days. (CR:9) c) Run as simulated plot for the Probability distribution and Cumulative distribution from the program above. (CR:9) d) Using Simulation model estimate the probability that 3 people will infected in the next two days. (AP:4) TOTAL [25 marks] QUESTION 2 a) :) Based on a graph of the probability distribution (Q1d) indicate the probability that 3 persons will contract the virus in a given day EV(4) 11) Find the mean and standard deviation of the number of infections from (01) in the past three days. (Ap: 5) b) The recent global climate change has necessitated the need for a new model for predicting weather patterns. Two scientists who 2 were modeling this process in Ghana ended up with two different system models. 1) What could be the possible reason(s) for the differences in their system model? Justify your answer. (EV:6) ii) In relation to real world data from the process how can you select the best model to employ for subsequent simulations and prediction of the process? QUESTION 2 a) i) Based on a graph of the probability distribution (Qld) indicate the probability that 3 persons will contract the virus in a given day EV(4) ii) Find the mean and standard deviation of the number of infections from (Q1) in the past three days. (Ap; 5) b) The recent global climate change has necessitated the need for a new model for predicting weather patterns. Two scientists who 2 were modeling this process in Ghana ended up with two different system models. i) What could be the possible reason(s) for the differences in their system model? Justify your answer. (EV;6) ii) In relation to real world data from the process how can you select the best model to employ for subsequent simulations and prediction of the process? (CR; 10)