Assignment:
Q1. A sample of 2,000 licensed drivers revealed the following number of speeding violations.
|
Number of Violations
|
Number of Drivers
|
|
0
|
1,910
|
|
1
|
46
|
|
2
|
18
|
|
3
|
12
|
|
4
|
9
|
|
5 or more
|
5
|
|
Total
|
2,000
|
|
|
|
a. What is the experiment?
b. List one possible event.
c. What is the probability that a particular driver had exactly two speeding violations?
d. What concept of probability does this illustrate?
Q2. A survey of undergraduate students in the School of Business at Northern University revealed the following regarding the gender and majors of the students:
|
Major
|
|
|
Gender
|
Accounting
|
Management
|
Finance
|
Total
|
|
Male
|
100
|
150
|
50
|
300
|
|
Female
|
100
|
50
|
50
|
200
|
|
Total
|
200
|
200
|
100
|
500
|
a. What is the probability of selecting a female student?
b. What is the probability of selecting a finance or accounting major?
c. What is the probability of selecting a female or an accounting major? Which rule of addition did you apply?
d. Are gender and major independent? Why?
e. What is the probability of selecting an accounting major, given that the person selected is a male?
f. Suppose two students are selected randomly to attend a lunch with the president of the university. What is the probability that both of those selected are accounting majors?
Provide complete and step by step solution for the question and show calculations and use formulas.