Ann and Ben are friends; Cindy and Dan are friends; Eliza and Foster are; Gill and Henry, also. But Ian is friendly with both Cindy and Eliza; Jenny with Ben, Dan and Foster. Finally Ann and Gill are friends, too. Draw the friendship contact pattern and help them sort themselves out and don't forget to calculate the following: 1. the contact density, c, of their friendship contact pattern, the element density, d, of their friendship contact pattern, and the average of the proportional time one person in the above spends with a particular other person, a. Sheriff Taylor was thinking about the good old days. Back in 1990 the town of Mayberry had 5,000 people and it had 50 cases of assault. He even had to hire Clarence Fife, Barney's long lost cousin. It was exciting in many ways, he thought. In 2000, however, Mayberry's population had shrunk to 2,500 and it had only twenty cases of assault (one which involved Clarence and Barney when Barney had to tell Clarence his services were no longer needed). "Well, the excitement is gone. But we now have less than half the crime. Everything's give and take, I guess," he said. 2. Calculate the population rate of assaults in 1990 and 2000. 3. Calculate the contact rate of assaults in 1990 and 2000. 4. Comment on Sheriff Taylor's opinion.