1. Statistics and Probability-Part 4

2. Family Dining
Instead of collecting information about possible outcomes yourself in order to make chance statements, you can often use information collected by others. Do students have dinner with their families? Researchers were interested in answering this question. They surveyed students aged 12 to 17, and the results are shown in the table and graph below.

3. If the researchers interviewed 3,000 families, how many reported eating together more than five days a week? If one of the families in the study is picked at random, what is the chance that the family eats together more than 5 days a week? What is the chance that a family in the study picked at random eats together five days a week or fewer?

4. Is the chance that a family eats together seven days a week greater than, the same as, or less than the chance that they do fewer than five days a week? Explain how you found your answer. What is the chance that a family does NOT eat together two days a week?

5. Watching TV
The seventh grade class in Brody and Cole’s school surveyed all of the students in grades 7 and 8 to find out how much television they watched each day. Some of their results are in the two-way table below. Finish the table of Cole and Brody’s survey.

6. Is there a difference between the number of hours students in grade 7 and grade 8 watch TV? What is the chance that a student chosen at random from Robert’s school watches TV three or more hours per night? If you knew the student was in grade 7, would the chance in the question above change? Explain why or why not. If you find a student who watches TV more than three hours a night, what is the chance this student is in grade 8?