TutorialWeek3vers2013sem10
VICTORIA UNIVERSITY
College of Business
BEO1106, Business Statistics
Week 3 Tutorial Exercise
Please Note: It is highly unlikely that you will be able to complete all of the following exercise in the time provided in the tutorial. Make sure that you complete any unfinished work associated with this exercise in your own time. Worked solutions to the complete exercise will be made available for your reference on the unit website at the end of the week. Note also that preparation for the unit assessments on this topic require much more than simply completing this exercise. As a matter of course you should ensure that you complete the suggested practice problems referred to you from the text book on this topic and also satisfy yourself that you are also comfortable with the worked examples provided on this topic in the lecture materials. See your lecturer, tutor or the Student Learning Unit for assistance with any of this material.
Introduction to Probability
A market research firm, interested in investigating the relationship between the ability of the consumer to recall a television commercial for a particular product and the actual purchase of the product, conducted a survey of 800 people. The responses to the survey revealed that 400 people could recall seeing the commercial and that 320 people actually bought the product. Of the people that bought the product, 240 could recall seeing the commercial.
1. Using the alphabetic characters B and R to represent the events “buying the product” and “recalling seeing the commercial” respectively, construct a 2x2 contingency/cross tabulation table to summarise the findings of the survey.
2. If the information revealed by the survey is typical of the population as a whole, determine the probability of selecting a person at random, from the population, who;
(a) had bought the product.
(b) could recall seeing the commercial.
(c) could recall seeing the commercial and bought the product.
(d) could recall seeing
College of Business
BEO1106, Business Statistics
Week 3 Tutorial Exercise
Please Note: It is highly unlikely that you will be able to complete all of the following exercise in the time provided in the tutorial. Make sure that you complete any unfinished work associated with this exercise in your own time. Worked solutions to the complete exercise will be made available for your reference on the unit website at the end of the week. Note also that preparation for the unit assessments on this topic require much more than simply completing this exercise. As a matter of course you should ensure that you complete the suggested practice problems referred to you from the text book on this topic and also satisfy yourself that you are also comfortable with the worked examples provided on this topic in the lecture materials. See your lecturer, tutor or the Student Learning Unit for assistance with any of this material.
Introduction to Probability
A market research firm, interested in investigating the relationship between the ability of the consumer to recall a television commercial for a particular product and the actual purchase of the product, conducted a survey of 800 people. The responses to the survey revealed that 400 people could recall seeing the commercial and that 320 people actually bought the product. Of the people that bought the product, 240 could recall seeing the commercial.
1. Using the alphabetic characters B and R to represent the events “buying the product” and “recalling seeing the commercial” respectively, construct a 2x2 contingency/cross tabulation table to summarise the findings of the survey.
2. If the information revealed by the survey is typical of the population as a whole, determine the probability of selecting a person at random, from the population, who;
(a) had bought the product.
(b) could recall seeing the commercial.
(c) could recall seeing the commercial and bought the product.
(d) could recall seeing