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Home > CCG > Chapter 10 > Lesson 10.3.5 > Problem 10-176

10-176.

Of the students who choose to live on campus at Coastal College, % are seniors. The most desirable dorm rooms are in the newly constructed OceanView dorm, and % of the seniors live there, while % of the rest of the students live there. Homework Help ✎

  1. Represent these probabilities in a two-way table.

    Ocean View

    Not Ocean View

    Senior

    Not Senior

  2. What is the probability that a randomly selected resident of the OceanView dorm is a senior?

     Compare the percentage of seniors who live in OceanView to the percentage of total students who live in OceanView.

    %

  3. Use the alternative definition of independence (see the Math Notes box in Lesson 10.2.3) to determine if being a senior is associated with living in the Ocean View dorm.

    If events and are independent, then .
    The converse of this statement is also true: , then and are independent.