Concept explainers
Use the information given in the previous exercise to answer the following questions.
- a. What proportion of the faculty surveyed sometimes use Twitter to communicate with students? [Hint: Use the law of total probability to find P(C).]
- b. What proportion of faculty surveyed sometimes use Twitter as a learning tool in the classroom?
6.79 The report “Twitter in Higher Education: Usage Habits and Trends of Today’s College Faculty” (Magna Publications, September 2009) describes results of a survey of nearly 2000 college faculty. The report indicates the following:
- 30.7% reported that they use Twitter and 69.3% said that they did not use Twitter.
- Of those who use Twitter, 39.9% said they sometimes use Twitter to communicate with students.
- Of those who use Twitter, 27.5% said that they sometimes use Twitter as a learning tool in the classroom.
Consider the chance experiment that selects one of the study participants at random and define the following events:
T =
C = event that selected faculty member sometimes uses Twitter to communicate with students
L = event that selected faculty member sometimes uses Twitter as a learning tool in the classroom
- a. Use the given information to calculate the following probabilities:
- i. P(T)
- ii. P(TC)
- iii. P(C|T)
- iv. P(L|T)
- v. P(C ∩ T)
- b. Interpret each of the probabilities computed in Part (a).
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Chapter 6 Solutions
Introduction To Statistics And Data Analysis