The report “Improving Undergraduate Learning” (Social Science Research Council, 2011) summarizes data from a survey of several thousand college students. These students were thought to be representative of the population of all college students in the United States. When asked about an upcoming semester, 68% said they would be taking a class that is reading intensive (requires more than 40 pages of reading per week). Only 50% said they would be taking a class that is writing intensive (requires more than 20 pages of writing over the course of the semester). The percentage who said that they would be taking both a reading intensive course and a writing intensive course was 42%.
a. Use the given information to set up a “hypothetical 1000” table.
b. Use the table to find the following probabilities:
i. the probability that a randomly selected student would be taking at least one of these intensive courses.
ii. The probability that a randomly selected student would be taking one of these intensive courses, but not both.
iii. The probability that a randomly selected student would be taking neither a reading intensive nor a writing intensive course.