standard_description: Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results.
problem_activity: Task
Amy and Greg are raking up leaves from a large maple tree in their yard and Amy remarks "I'll bet this tree has a million leaves." Greg is skeptical. Amy suggests the following method to check whether or not this is possible:
Find a small maple tree and estimate how many leaves it has.
Use that number to figure out how many leaves the big maple tree has.
Describe the assumptions and calculations needed to carry for Amy's strategy.
Amy and Greg estimate that their maple tree is about $35$ feet tall. They find a $5$ foot tall maple tree and estimate that it has about $400$ leaves. Use your work from part (a) to estimate the number of leaves on Amy and Greg's tree.


aligns: no