a. Explanation Calculation: It is given that 30.7% of the college faculties use twitter and 69.3% of them did not use twitter. Among the twitter users, 39.9% uses twitter to communicate with students, 27.5% uses twitter as a learning tool. Event T denotes that selected faculty uses internet. The probability of the event T can be obtained by the formula: P ( T ) = Number of outcomes in T Number of outcomes in sample space Here, it is known that 30.7% of the college faculties use twitter. Therefore, the required probability is given by: P ( T ) = 30.7 100 = 0.307 Thus, P ( T ) = 0.307 _ The required probability is obtained by the formula: P ( T c ) = 1 − P ( T ) = 1 − 0.307 = 0.693 Thus, P ( T c ) = 0.693 _ . Event C denotes that selected faculty uses twitter to communicate with students. Among the twitter users, 39.9% uses twitter to communicate with students. The required probability is obtained by the formula: P ( C | T ) = 39 b. To determine Interpret each of the probability values obtained in Part (a). c. To determine Compute the probability that the selected faculty member use twitter to communicate with students. d. To determine Compute the probability that the selected faculty member use twitter as a learning tool.

Introduction to Statistics and Data Analysis

5th Edition

ISBN: 9781305445963

Author: PECK

Publisher: Cengage

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Question

Chapter 6.6, Problem 69E

To determine

i.) Compute the probability of the event T.

ii.) Find the probability of the event Tc.

iii.) Calculate the probability of the event C|T.

iv.) Calculate the probability of the event L|T.

v.) Find the probability of the event C∩T.

To determine

Interpret each of the probability values obtained in Part (a).

To determine

Compute the probability that the selected faculty member use twitter to communicate with students.

To determine

Compute the probability that the selected faculty member use twitter as a learning tool.

Expert Solution & Answer

Chapter 6 Solutions

Introduction to Statistics and Data Analysis

Ch. 6.1 - Define the term chance experiment, and give an...Ch. 6.1 - Define the term sample space, and then give the...Ch. 6.1 - Consider the chance experiment in which the type...Ch. 6.1 - A tennis shop sells five different brands of...Ch. 6.1 - A new model of laptop computer can be ordered with...Ch. 6.1 - A college library has four copies of a certain...Ch. 6.1 - A library has five copies of a certain textbook on...Ch. 6.1 - Suppose that, starting at a certain time,...Ch. 6.1 - Refer to the previous exercise and now suppose...Ch. 6.1 - Prob. 10E

Ch. 6.1 - An engineering construction firm is currently...Ch. 6.1 - Consider a Venn diagram picturing two events A and...Ch. 6.3 - A large department store offers online ordering....Ch. 6.3 - The manager of a music store has kept records of...Ch. 6.3 - A bookstore sells two types of books (fiction and...Ch. 6.3 - ▼ Medical insurance status—covered (C) or not...Ch. 6.3 - Roulette is a game of chance that involves...Ch. 6.3 - Phoenix is a hub for a large airline. Suppose that...Ch. 6.3 - A professor assigns five problems to be completed...Ch. 6.3 - Refer to the following information on full-term...Ch. 6.3 - Prob. 21E Ch. 6.3 - Prob. 22E Ch. 6.3 - Prob. 23E Ch. 6.3 - Prob. 24E Ch. 6.3 - A deck of 52 playing cards is mixed well, and 5...Ch. 6.3 - Prob. 26E Ch. 6.3 - The student council for a school of science and...Ch. 6.3 - A student placement center has requests from five...Ch. 6.3 - Prob. 29E Ch. 6.4 - Two different airlines have a flight from Los...Ch. 6.4 - The article Chances Are You Know Someone with a...Ch. 6.4 - The accompanying data are from the article...Ch. 6.4 - The following graphical display is similar to one...Ch. 6.4 - Delayed diagnosis of cancer is a problem because...Ch. 6.4 - The events E and T are defined as E = the event...Ch. 6.4 - The newspaper article Folic Acid Might Reduce Risk...Ch. 6.4 - Suppose that an individual is randomly selected...Ch. 6.4 - Is ultrasound a reliable method for determining...Ch. 6.4 - The table at the top of the next page summarizes...Ch. 6.4 - USA Today (June 6, 2000) gave information on seal...Ch. 6.4 - Prob. 41E Ch. 6.4 - The paper Good for Women, Good for Men, Bad for...Ch. 6.5 - Many fire stations handle emergency calls for...Ch. 6.5 - The paper Predictors of Complementary Therapy Use...Ch. 6.5 - The report TV Drama/Comedy Viewers and Health...Ch. 6.5 - Prob. 46E Ch. 6.5 - Prob. 47E Ch. 6.5 - In a small city, approximately 15% of those...Ch. 6.5 - Jeanie is a bit forgetful, and if she doesnt make...Ch. 6.5 - Prob. 50E Ch. 6.5 - Prob. 51E Ch. 6.5 - Prob. 52E Ch. 6.5 - The following case study was reported in the...Ch. 6.5 - Three friends (A, B, and C) will participate in a...Ch. 6.5 - Prob. 55E Ch. 6.5 - A store sells two different brands of dishwasher...Ch. 6.5 - The National Public Radio show Car Talk used to...Ch. 6.5 - Refer to the previous exercise. Suppose now that...Ch. 6.6 - A university has 10 vehicles available for use by...Ch. 6.6 - Prob. 60E Ch. 6.6 - Prob. 61E Ch. 6.6 - Let F denote the event that a randomly selected...Ch. 6.6 - According to a July 31, 2013 posting on cnn.com, a...Ch. 6.6 - Suppose that Blue Cab operates 15% of the taxis in...Ch. 6.6 - A large cable company reports the following: 80%...Ch. 6.6 - Refer to the information given in the previous...Ch. 6.6 - The authors of the paper Do Physicians Know When...Ch. 6.6 - A study of how people are using online services...Ch. 6.6 - Prob. 69E Ch. 6.6 - Prob. 70E Ch. 6.6 - Prob. 71E Ch. 6.6 - Prob. 72E Ch. 6.6 - Prob. 73E Ch. 6.6 - The paper referenced in the previous exercise also...Ch. 6.6 - In an article that appears on the web site of the...Ch. 6.6 - Prob. 76E Ch. 6.6 - Only 0.1% of the individuals in a certain...Ch. 6.7 - The Los Angeles Times (June 14, 1995) reported...Ch. 6.7 - Five hundred first-year students at a state...Ch. 6.7 - The table given below describes (approximately)...Ch. 6.7 - On April 1, 2010, the Bureau of the Census in the...Ch. 6 - A company uses three different assembly linesA1,...Ch. 6 - Prob. 88CR Ch. 6 - Prob. 89CR Ch. 6 - Prob. 90CR Ch. 6 - Prob. 91CR Ch. 6 - A company sends 40% of its overnight mail parcels...Ch. 6 - Prob. 93CR Ch. 6 - Prob. 94CR Ch. 6 - In a school machine shop, 60% of all machine...Ch. 6 - There are five faculty members in a certain...Ch. 6 - The general addition rule for three events states...Ch. 6 - A theater complex is currently showing four...Ch. 6 - Prob. 100CR Ch. 6 - Suppose that a box contains 25 light bulbs, of...Ch. 6 - Prob. 102CR Ch. 6 - A transmitter is sending a message using a binary...

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i.) Compute the probability of the event T . ii.) Find the probability of the event T c . iii.) Calculate the probability of the event C | T . iv.) Calculate the probability of the event L | T . v.) Find the probability of the event C ∩ T .

Solution Summary: The author explains that 30.7% of college faculties use twitter and 69.3% of them did not use it. Event T denotes that selected faculty uses internet.

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i.) Compute the probability of the event T.

ii.) Find the probability of the event Tc.

iii.) Calculate the probability of the event C|T.

iv.) Calculate the probability of the event L|T.

v.) Find the probability of the event C∩T.

Interpret each of the probability values obtained in Part (a).

Compute the probability that the selected faculty member use twitter to communicate with students.

Compute the probability that the selected faculty member use twitter as a learning tool.

Chapter 6 Solutions

i.) Compute the probability of the event T . ii.) Find the probability of the event T c . iii.) Calculate the probability of the event C | T . iv.) Calculate the probability of the event L | T . v.) Find the probability of the event C ∩ T .

Solution Summary: The author explains that 30.7% of college faculties use twitter and 69.3% of them did not use it. Event T denotes that selected faculty uses internet.

Concept explainers

Videos

i.) Compute the probability of the event T. ii.) Find the probability of the event Tc. iii.) Calculate the probability of the event C|T. iv.) Calculate the probability of the event L|T. v.) Find the probability of the event C∩T.

Interpret each of the probability values obtained in Part (a).

Compute the probability that the selected faculty member use twitter to communicate with students.

Compute the probability that the selected faculty member use twitter as a learning tool.

Chapter 6 Solutions

i.) Compute the probability of the event T.

ii.) Find the probability of the event Tc.

iii.) Calculate the probability of the event C|T.

iv.) Calculate the probability of the event L|T.

v.) Find the probability of the event C∩T.