SOLUTION: Please help me solve probability question. A sample of 500 respondents was selected in a large metropolitan area to determine various information concerning consumer behaviour. Th

Question 1082008: Please help me solve probability question.
A sample of 500 respondents was selected in a large metropolitan area to determine various information concerning consumer behaviour. The following contingency table was obtained:
Enjoy Shopping cloths: Male Female
Yes 75 225
No 150 50
Suppose the respondent chosen enjoys shopping for clothing. What, then, is the probability that the individual is a male?
Found 2 solutions by Boreal, jim_thompson5910:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Here, one looks at the enjoying shopping group, which has 75 males and 225 females of 300.
Given that one enjoys shopping (300), the probability male is 75/300 or 0.25.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Given Table

Note: I've added on row and column totals as well. Table generated with Excel. Free alternatives such as Open Office, Libre Office, Google Doc Spreadsheets, etc can do the same thing.

We're given that the respondent enjoys shopping. There are 75 males and 225 females that enjoy shopping. In total, there are 75+225 = 300 people who enjoy shopping.

Of these 300 people who like shopping, 75 are male. Divide these two values

(# of males who like shopping)/(# of people who like shopping) = 75/300 = 1/4 = 0.25 = 25%

The probability as a fraction is 1/4
The probability as a decimal is 0.25
The probability as a percent is 25%
RELATED QUESTIONS
Please help me solve probability question. A sample of 500 respondents was selected in (answered by Boreal)
In a large metropolitan area, past records revealed that 30 percent of all the high... (answered by ikleyn)
Approximately 19.4% of the U.S population age 5 years and above speaks a language other... (answered by stanbon)
Please help me solve probability question. Thirty nine (39) workers in a large office... (answered by Boreal)
In a poll to estimate presidential popularity, each person in a random sample of 800... (answered by stanbon)
A sample of 500 shoppers was selected in a large metropolitan are to determine various... (answered by Theo)
A sample of 500 shoppers was selected in a large metropolitan are to determine various... (answered by stanbon)
The data in the table that follows was collected by a large car manufacturer concerning... (answered by stanbon)
In a poll, respondents were asked if they have traveled to Europe. 68 respondents... (answered by stanbon)