4Math 221 Week 4 Lab (Note: Your labs should be well organized, with results clearly identified and in the proper order. When answering questions, be sure to use complete sentences and proper grammar. It is also important for you to fully explain your answers! Please do not answer “yes” (or “no”); you should explain why the answer is “yes”. Part 1. Cross-Reference Tables and Probability 1. What is the probability that the cereal would be high calorie? In other words, what is P(high calorie)? 2. What is the probability that the cereal would be high fiber? In other words, what is P(high fiber)? 3. What is the probability that a cereal would both high calorie and high fiber? In other words, what is P(high calorie and high fiber)? 4. What is the probability that a cereal would either high calorie or high fiber? In other words, what is P(high calorie or high fiber)? 5. What is the probability that a cereal would be high calorie, given that it is high fiber? In other words, what is P(high calorie, given high fiber)? 6. What is the probaility that a cereal would be high calorie, given that is is low fiber? In other words, what is P(high calorie, given low fiber)? 7. Regarding Questions 5 and 6, how might you interpret this information as a consumer? 8. Using the simple test of independence (described in the lecture), decide if the events high calorie and high fiber are independent or dependent. Show your work. 9. Discuss how the Excel command “countif” was used in the table above. Why were the ranges (such as f2:f23) used as they were? (Answer the above questions. Format your answers so that they are clearly shown. See the worksheet CEREAL from the Week4Lab.xls file. You will find the above questions inside the worksheet also. You do not need to copy-and-paste anything here. Part 2. Binomial Probability Distribution (Insert your answers to Part 2 here. Be sure to copy-and-paste the two Binomial Probability Distributions. Also, copy-and-paste the graph of the distribution used for the first question here. See the worksheet Binomial Example from the Week4Lab.xls file for examples similar to your assigned questions. Part 3. Poisson Probability Distribution (Insert your answers to Part 3 here. Be sure to copy-and-paste the two Poisson Probability Distributions. Also, copy-and-paste the graph of the distribution used for the first question. See the worksheet Poisson Example from the Week4Lab.xls file for examples similar to your assigned questions