Business Statistics - Chapter 4 Assignment

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...