Submitted by: Submitted by BellaP
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Category: Business and Industry
Date Submitted: 03/03/2015 05:01 PM
Classwork Assignment, Chapter 4
1. A student has to take 9 more courses before he can graduate. If none of the courses are prerequisite to others, how many groups of four courses can he select for the next semester?
Answer: 9C4= 56
2. From among 8 students how many committees consisting of 3 students can be selected?
Answer: 8C3= 56
3. Ten individuals are candidates for positions of president, vice president of an organization. How many possibilities of selections exist?
Answer: 10P2 = 90
4. How many committees, consisting of 3 female and 5 male students, can be selected from a group of 5 female and 8 male students?
5C3 x 8C5 = 560
5 M
8C5 = 56
3 F
5C3 = 10
Answer:
5 8
females males
5. A survey of a sample of business students resulted in the following information regarding the genders of the individuals and their selected major.
Contingency Table
Selected Major
Gender | Management | Marketing | Others | Total |
Male | 40 (40/200 = 0.20) | 10 (0.05) | 30 (0.15) | 80 (0.4) |
Female | 30 (30/200 = 0.15) | 20 (0.10) | 70 (0.35) | 120 (0.6) |
Total | 70 (0.20 + 0.15 = 0.35) | 30 (0.05 + 0.10 = 0.15) | 100 (0.15 + 0.35 = 0.15) | 200 (1) |
P (Management) = 70/200 = 0.35
P (Male) = 80/200 = 0.4
P (Marketing) = 30/200 = 0.15
P(A) = Number of ways the event occurs
Total number of outcomes
a. | What is the probability of selecting an individual who is majoring in Marketing?Answer: |
b. | What is the probability of selecting an individual who is majoring in Management, given that the person is female? Answer: P (Management | F) *Female happens first = 30 120 = 0.25 |
c. | Given that a person is male, what is the probability that he is majoring in Management?Answer: P (Management | M) *Male happens first = 40 80 = 0.50 |
d. | What is the probability of selecting a male individual? |
Answer: P (Male) = 80/200 = 0.4...