# Business Statistics - Chapter 4 Assignment

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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?

2. From among 8 students how many committees consisting of 3 students can be selected?

3. Ten individuals are candidates for positions of president, vice president of an organization. How many possibilities of selections exist?

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

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...