The purpose of this assignment is to learn to compute key probabilities.

The purpose of this assignment is to learn to compute key probabilities.

1. Consider the following example survey results of 18-34 years olds in the United States, in response to the question “Are you currently living with your family?”: YesNoTotalsMen106141247Women92161253Totals198302500

2. Develop the joint probability table for these data and use it to answer the following questions.
3. What are the marginal probabilities?
4. What is the probability of living with family given you are an 18 to 34 year old man in the U.S.?
5. What is the probability of living with family given you are 18 to 34 year old woman in the U.S.?
6. What is the probability of an 18 to 34 year old in the U.S. living with family?
7. If, in the U.S., 49.4% of 18 to 34 year olds are male, do you consider this a good representative sample? Why?

USEFUL NOTES FOR:

Consider the following example survey results of 18-34 years olds in the United States, in response to the question “Are you currently living with your family?”: YesNoTotalsMen106141247Women92161253Totals198302500

Introduction

The following example survey results of 18-34 years olds in the United States, in response to the question “Are you currently living with your family?”: YesNoTotalsMen106141247Women92161253Totals198302500

Consider the following example survey results of 18-34 years olds in the United States, in response to the question “Are you currently living with your family?”: YesNoTotalsMen106141247Women92161253Totals198302500

Consider the following example survey results of 18-34 years olds in the United States, in response to the question “Are you currently living with your family?”: YesNoTotalsMen106141247Women92161253Totals198302500

Let’s look at these numbers a bit more closely. The total number of respondents is 19830 people; this includes both men and women (18% each). There were also 2201 people who said they’re not currently living with their families. If we add up all these numbers, we get 20500 respondents—which is exactly what our data says!

Takeaway:

The first thing to note is that the results are divided by gender. It’s also worth noting that there is a nearly equal number of men and women who answered “yes” to this question, even though it seems like an easy answer would be “no” or “maybe”—which could indicate a lack of understanding about what living with family means in this context.

What do these numbers tell us? Well, they can tell us a lot about how people feel about their current living situation and how they see things changing over time. For example: if you were looking at these numbers and thought they seemed skewed towards one side or another (e.g., female respondents seemed more likely than male respondents), perhaps your perception was correct! But maybe not; maybe both genders felt equally represented here!

Conclusion

These survey results have given us an idea of what is happening in our country right now and how we can best address it.

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