1. Test results of three different courses from 100 samples are summarized as follows: Successful? Yes...

  

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1. Test results of three different courses from 100 samples are summarized as follows: Successful? Yes No Course 1 22 8 Course 2 25 5 Course 3 30 10 Let A denote the event that a sample is from course 1, and let B denote the event that a sample is successful. (a) Are events A and B independent? Why, Why not? (b) Determine (A|B) and (BA). 2. In a store, suppose that there are 4 green chairs, 6 green tables, and 6 red chairs. How many red tables must be present if color and furniture (chair/table) are to be independent when furniture is selected at random? Explain your answer! 1. Test results of three different courses from 100 samples are summarized as follows: Successful? Yes No Course 1 22 8 Course 2 25 5 Course 3 30 10 Let A denote the event that a sample is from course 1, and let B denote the event that a sample is successful. (a) Are events A and B independent? Why, Why not? (b) Determine (A|B) and (BA). 2. In a store, suppose that there are 4 green chairs, 6 green tables, and 6 red chairs. How many red tables must be present if color and furniture (chair/table) are to be independent when furniture is selected at random? Explain your answer!