Algebra II.4.A.2 - Calculating Probabilities of Events Using Two-Way Tables – Exit Ticket

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Last updated almost 3 years ago
3 Questions
Did male and female voters respond similarly to the survey question about building a new high school? Recall the original summary of the data.
1.

Complete the following two-way frequency table:

2.

Use the above two-way frequency table to answer the following questions: a. If a randomly selected eligible voter is female, what is the probability she will vote to build a new high school? b. If a randomly selected eligible voter is male, what is the probability he will vote to build a new high school?

3.

An automobile company has two factories assembling its luxury cars. The company is interested in whether consumers rate cars produced at one factory more highly than cars produced at the other factory. Factory A assembles 60% of the cars. A recent survey indicated that 70% of the cars made by this company (both factories combined) were highly rated. This same survey indicated that 10% of all cars made by this company were both made at Factory B and were not highly rated. a. Create a hypothetical 1000 two-way table based on the results of this survey by filling in the table below. b. A randomly selected car was assembled in Factory B. What is the probability this car is highly rated?

From EngageNY.org of the New York State Education Department. Grade Algebra II Mathematics Module 4, Topic A, Lesson 2. Internet. Available from https://www.engageny.org/resource/algebra-ii-modul...; accessed 21/Apr/2016.