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IM2.9.6 Independence 1

1. Tablets and Phones

1. Out of the 2000 students who attend a certain high school, 1400 students own cell phones, 1000 own a tablet, and 800 have both. Suppose a student is randomly selected. Create a Venn diagram model below.

Previously, we've learned conditional probability: and talked about the conditions for independence: A and B are independent if If A and B are independent, then Use this knowledge and mathematical notation to answer the following: a. What is the probability that a randomly selected student owns a cell phone? b. What is the probability that a randomly selected students owns both a cell phone and a tablet? c. If a randomly selected student owns a cell phone (was one of the 1400 with a phone), what is the probability that this student also owns a tablet? d. How are questions b and c different? e. Are the outcomes owns a cell phone and owns a tablet independent? Explain. f. If question e is not independent, change the conditions of the problem to make them independent