Deloitte & Touch
MGSC1206 Fall 2013
Due: Nov 1st, 2013 12:00 noon
Assignment #2
Notes:
(a) Assignments are to be done individually.
(b) Be sure to use correct notation and show how you find each answer.
(c) Assignments are to be remitted to the correct drop box on the second floor of Loyola.
(d) No late assignments will be accepted.
(e) Before beginning this assignment, you should have completed the following:
• Reviewed the class examples
• Completed the Algebra tutorial and related material, as needed
• Completed Practice Problems
• Reviewed the solutions to Practice Problems
(f) This assignment is a sampling of question types. Preparation for Test #2 should include all questions provided to you (i.e. class examples, Practice Problems, Practice Test and this assignment).
(g) Remember that Test#2 will include (1) Probability material, including (2) Binomial Distribution and (3) one Calculus question.
Questions:
1. The following table gives the results of a survey of 900 movie goers in a particular city, their gender, age and preference for film-genre.
Age
(years)
Gender Comedy Action Romance Total
25 - < 40
40 +
Male
20
120
10
150
Female
Male
Female
Male
Female
25
25
30
40
75
15
95
5
20
5
110
55
90
40
120
150
175
125
100
200
Total
14 - < 25
215
260
425
900
Using the corresponding relative frequencies, and proper notation, determine the following:
a)
b)
c)
d)
e)
Find the probability of R, the event that a randomly-selected person prefers a romantic movie.
Find the probability of F, the event that a randomly-selected person is less than 40 years old.
Determine the probability of R and F occurring.
Are R and F mutually exclusive? (Explain using probabilities)
List a pair of mutually exclusive events and explain (in probabilistic terms) why they are mutually exclusive. f) Determine the probability of R or F or both occurring.
g) What is the probability that an
Due: Nov 1st, 2013 12:00 noon
Assignment #2
Notes:
(a) Assignments are to be done individually.
(b) Be sure to use correct notation and show how you find each answer.
(c) Assignments are to be remitted to the correct drop box on the second floor of Loyola.
(d) No late assignments will be accepted.
(e) Before beginning this assignment, you should have completed the following:
• Reviewed the class examples
• Completed the Algebra tutorial and related material, as needed
• Completed Practice Problems
• Reviewed the solutions to Practice Problems
(f) This assignment is a sampling of question types. Preparation for Test #2 should include all questions provided to you (i.e. class examples, Practice Problems, Practice Test and this assignment).
(g) Remember that Test#2 will include (1) Probability material, including (2) Binomial Distribution and (3) one Calculus question.
Questions:
1. The following table gives the results of a survey of 900 movie goers in a particular city, their gender, age and preference for film-genre.
Age
(years)
Gender Comedy Action Romance Total
25 - < 40
40 +
Male
20
120
10
150
Female
Male
Female
Male
Female
25
25
30
40
75
15
95
5
20
5
110
55
90
40
120
150
175
125
100
200
Total
14 - < 25
215
260
425
900
Using the corresponding relative frequencies, and proper notation, determine the following:
a)
b)
c)
d)
e)
Find the probability of R, the event that a randomly-selected person prefers a romantic movie.
Find the probability of F, the event that a randomly-selected person is less than 40 years old.
Determine the probability of R and F occurring.
Are R and F mutually exclusive? (Explain using probabilities)
List a pair of mutually exclusive events and explain (in probabilistic terms) why they are mutually exclusive. f) Determine the probability of R or F or both occurring.
g) What is the probability that an