1. Give an example of a conditional probability that would be of interest to you.
2. Explain what it means for two events to be independent.
METHODS AND APPLICATIONS
3. The following contingency table summarizes the number of students at a college who have a Mastercard and/or a Visa credit card.
|
Have Visa
|
Do Not Have Visa
|
Total
|
|
HaveMastercard
|
1,000
|
1,500
|
2,500
|
|
Do Not Have Mastercard
|
3,000
|
4,500
|
7,500
|
|
Total
|
4,000
|
6,000
|
10,000
|
a. Find the proportion of Mastercard holders who have VISA cards. Interpret and write this proportion as a conditional probability.
b. Find the proportion of VISA cardholders who have Mastercards. Interpret and write this proportion as a conditional probability.
c. Are the events having a Mastercard and having a VISA independent? Justify your answer.