7D Coreq

In the next preview assignment and in the next class, you will need to create hypothetical tables to assist in answering conditional probability questions.

Brand Loyalty

If a college student has an Apple computer, are they likely to own an iPhone? How can we calculate this probability based on known information?

Let’s explore this idea.

Question 1

A survey was administered to 120 college students. One third of the students own  an Android Phone, two thirds of the students own an iPhone, and one half of the  students who own an Apple computer also own an iPhone. Of the students who do  not own an Apple computer, three fourths own an iPhone.

Answer the following questions to complete the table and then calculate the  probability that a student (randomly selected from those surveyed) who is an Apple  computer owner also owns an iPhone.

iPhone Android Phone Total
Owns Apple  computer
Does not

own Apple

computer
Total
  1. Add the total number of students surveyed to the table.
  2. Given that “one third of the students own an Android Phone,” add the  appropriate number to the table.
  3. Given that “two thirds of the students own an iPhone,” add the appropriate  number to the table.
  4. Given that “one half of the students who own an Apple computer also own an  iPhone,” add the appropriate number to the table.
  5. Given that “of the students who do not own an Apple computer, three fourths own an iPhone,” add the appropriate number to the table.
  6. What is the probability that a randomly selected Apple computer owner also  owns an iPhone?

More on Conditional Probability

Question 2

Refer to Question 1 to answer Parts a and b.

  1. Write two conditional probability questions.
  2. Answer the questions you wrote in Part a. Use appropriate notation.