Assignment: Male and Probability
| COMSATS Institute of Information TechnologyDepartment of Mathematics | Course Title: | Business Maths & Stats (MTH469) | Class: MBT-3- A, B, C | Resource Person: | Muhammad Hamid Mahmood | Submission: will be informed in class |
Assignment # 2
Q1 | What is the preferred way for people to order fast food? A survey was conducted in 2009, but the sample sizes were not reported. Suppose the results, based on a sample of 100 males and 100 females, were as follows:If a respondent is selected at random, what is the probability that he or she a. prefers to order at the drive-through? b. is a male and prefers to order at the drive-through? c. is a male or prefers to order at the drive-through? d. Explain the difference in the results in (b) and (c). e. Given that a respondent is a male, what is the probability that he prefers to order at the drive-through? f. Given that a respondent is a female, what is the probability that she prefers to order at the drive-through? g. Is dining preference independent of gender? Explain. | | | Q2 | A sample of 500 respondents in a large metropolitan area was selected to study consumer behavior. Among the questions asked was “Do you enjoy shopping for clothing?” Of 240 males, 136 answered yes. Of 260 females, 224 answered yes. Construct a contingency table to evaluate the probabilities. What is the probability that a respondent chosen at random a. enjoys shopping for clothing? b. is a female and enjoys shopping for clothing? c. is a female or enjoys shopping for clothing? d. is a male or a female? | | | Q3 | Each year, ratings are compiled concerning the performance of new cars during the first 90 days of use. Suppose that the cars have been categorized according to whether a car needs warranty-related repair (yes or no) and the country in which the company manufacturing a car is based (United States or not United States). Based on the data collected, the probability that the new car needs a warranty
Assignment # 2
Q1 | What is the preferred way for people to order fast food? A survey was conducted in 2009, but the sample sizes were not reported. Suppose the results, based on a sample of 100 males and 100 females, were as follows:If a respondent is selected at random, what is the probability that he or she a. prefers to order at the drive-through? b. is a male and prefers to order at the drive-through? c. is a male or prefers to order at the drive-through? d. Explain the difference in the results in (b) and (c). e. Given that a respondent is a male, what is the probability that he prefers to order at the drive-through? f. Given that a respondent is a female, what is the probability that she prefers to order at the drive-through? g. Is dining preference independent of gender? Explain. | | | Q2 | A sample of 500 respondents in a large metropolitan area was selected to study consumer behavior. Among the questions asked was “Do you enjoy shopping for clothing?” Of 240 males, 136 answered yes. Of 260 females, 224 answered yes. Construct a contingency table to evaluate the probabilities. What is the probability that a respondent chosen at random a. enjoys shopping for clothing? b. is a female and enjoys shopping for clothing? c. is a female or enjoys shopping for clothing? d. is a male or a female? | | | Q3 | Each year, ratings are compiled concerning the performance of new cars during the first 90 days of use. Suppose that the cars have been categorized according to whether a car needs warranty-related repair (yes or no) and the country in which the company manufacturing a car is based (United States or not United States). Based on the data collected, the probability that the new car needs a warranty