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