Students in the new MBA class at a state university have the specialization profile given below Find the probability that a student is either a finance or a marketing major Are the events finance specialization and marketing specialization mutu exclusive? If so, what assumptions must be made? Finance-78 Marketing-33 Operations and Supply Chain Management-75 Information Systems-54 Select the correct choice and, if necessary, fill in the answer box to complete your choice. O A. Since the outcomes are not mutually exclusive, the probability cannot be found using only the information given.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 26E
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Students in the new MBA class at a state university have the specialization profile given below. Find the probability that a student is either a finance or a marketing major. Are the events finance specialization and marketing specialization mutually
exclusive? If so, what assumptions must be made?
Finance-78
Marketing-33
Operations and Supply Chain Management-75
Information Systems-54
Select the correct choice and, if necessary, fill in the answer box to complete your choice.
A. Since the outcomes are not mutually exclusive, the probability cannot be found using only the information given.
B. Since the outcomes are mutually exclusive, the probability that a student is either a finance or a marketing major is
No assumptions need to be made.
(Round to two decimal places as needed.)
C. Since the students may or may not be allowed to have multiple majors, it is not known if the outcomes are mutually exclusive. If it is assumed that the majors are not mutually exclusive, then the probability that a student is either a finance
or a marketing major cannot be found using only the information given. If it is assumed that the majors are mutually exclusive, then the probability is.
(Round to two decimal places as needed.)
O D. Since the students may or may not be allowed to have multiple majors, it is not known if the outcomes are mutually exclusive. If it is assumed that the majors are not mutually exclusive, then the probability that a student is either a finance
or a marketing major is
(Round to two decimal places as needed.)
If it is assumed that the majors are mutually exclusive, then the probability cannot be found using only the information given.
Transcribed Image Text:Students in the new MBA class at a state university have the specialization profile given below. Find the probability that a student is either a finance or a marketing major. Are the events finance specialization and marketing specialization mutually exclusive? If so, what assumptions must be made? Finance-78 Marketing-33 Operations and Supply Chain Management-75 Information Systems-54 Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. Since the outcomes are not mutually exclusive, the probability cannot be found using only the information given. B. Since the outcomes are mutually exclusive, the probability that a student is either a finance or a marketing major is No assumptions need to be made. (Round to two decimal places as needed.) C. Since the students may or may not be allowed to have multiple majors, it is not known if the outcomes are mutually exclusive. If it is assumed that the majors are not mutually exclusive, then the probability that a student is either a finance or a marketing major cannot be found using only the information given. If it is assumed that the majors are mutually exclusive, then the probability is. (Round to two decimal places as needed.) O D. Since the students may or may not be allowed to have multiple majors, it is not known if the outcomes are mutually exclusive. If it is assumed that the majors are not mutually exclusive, then the probability that a student is either a finance or a marketing major is (Round to two decimal places as needed.) If it is assumed that the majors are mutually exclusive, then the probability cannot be found using only the information given.
Expert Solution
Step 1

Given Information:

Finance - 78

Marketing - 33

Operations and Supply chain management - 75

Information systems - 54

Total number of students = 240

To find the probability that a student is either a finance or a marketing major.

Probability of an event is given by the formula:

PE=favourable outcomesTotal possible outcomes

Let A denote that the student is a finance major and B denote that the student is marketing major.

Required probability is obtained as follows:

PA or B=PA+PB-PA and B=78240+33240-0240=78+33240=0.4625

Thus, the probability that a student is either a finance or a marketing major is 0.4625

 

 

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