In: Statistics and Probability
. A sample of 500 respondents was selected in a large metropolitan area to study consumer behavior, with the following results shown through the contingency table:
Gender |
||||
Enjoy Shopping for |
Male |
Female |
Total |
|
Clothing |
||||
Yes |
136 |
224 |
360 |
|
No |
104 |
36 |
140 |
|
Total |
240 |
260 |
500 |
a. |
Find the probability of selecting a male respondent. (2) |
b. |
What is the probability that selected respondent is a female who enjoys shopping for clothing?(2) |
c. |
What is the probability, if a person is selected at random will be a male or does not enjoy shopping for clothing? (2) |
d. |
Given that selected person is a female. What is the probability that she does not enjoy shopping for clothing? (2) |
e. Given that the respondent chosen enjoys shopping for clothing. What is the probability that the individual is a male? (2) |