A survey was given asking the following question “Have you ever been offended by something on...

A survey was given asking the following question “Have you ever been offended by something on social media? The table shows the response give. Using the table below answer the following questions.

Gender	Yes	No	Total
Female	625	541	1166
Male	685	510	1195
Total	1310	1051	2361

Suppose a person is chosen at random from this sample. Show your work by giving the fraction (using the numbers in the table above). Either round your answers to 4 decimal places or give the fraction reduced to lowest terms.

Find the probability that the person is female.

Find the probability that the person was offended by something on social media.

Find the probability that a person was offended, given that the person is female.

Find the probability that the person is male, given that the person was not offended.

For this sample, are the events “being offended” and “being male” independent? Explain your answer by using probabilities.

Find the probability of being offended and female.

Find the probability of being offended or female.

Are the events “female” and “being offended” mutually exclusive? Why or why not?

Expert Solution

a) P(female) = 1166 / 2361 = 0.4939

b) P(offended) = 1310 / 2361 = 0.5548

c) P(offended | female) = 625 / 1166 = 0.5360

d) P(male | not offended) = 510 / 1051 = 0.4853

e) P(offended | male) = 685 / 1195 = 0.5732

They are not independent events, because P(offended | male) ≠ P(offended)

f) P(offended and female) = 625 / 2361 = 0.2647

g) P(offended or female) = P(offended) + P(female) - P(offended and female)

= 1310/2361 + 1166/2361 - 625/2361

= 0.7840

h) No, they are not mutually exclusive events. Because P(offended and female) ≠ 0

orchestra answered 2 years ago

Is there something you ever purchased that you would have been willing to pay more for...

Is there something you ever purchased that you would have been willing to pay more for than the listed price? What was it? a) What was the difference between the amount you were willing to pay and the actual price you paid? b) Why was there such a discrepancy? Answer the following questions about taxes & subsidies: 1) Give an example of something you purchase that has a special tax placed on it. For example, cigarettes have a special tax...

Have you ever experienced a conflict of interest or been tempted to do something that you...

Have you ever experienced a conflict of interest or been tempted to do something that you thought went against your job responsibilities? Describe an employment or business-related situation where your self-interest diverged from what you believed to be morally right.

Have you ever been interviewed?have you ever filled out a survey?if you've done both and you've...

Have you ever been interviewed?have you ever filled out a survey?if you've done both and you've participated in qualitative and quantitative research,the purpose of qualitative research is to explore the meaning of people's experiences,people's cultures and how people view a particular issue or case known as a case study,but the purpose of quantitative research is to examine the relationship between variables.a variable is a characteristic,we'll talk more about this in just a second but for this class we're going to...

Has there ever been a time where you “misremembered” something? Describe it below. Do you have...

Has there ever been a time where you “misremembered” something? Describe it below. Do you have any ideas about why this may have happened? 3-4 sentence answer

To what extent have you built your own brand? Is this something that you have ever...

To what extent have you built your own brand? Is this something that you have ever considered before? Networking has the potential to open doors and create possibilities for jobs and partnerships. Networking establishes connections between individuals and access to information that one might not normally have access to. Reaching out to strangers can be an intimidating and nerve-racking experience. In business, the more central you are, the more power you have. Creating connections and ties to other people affords...

What is the best interview question and/or the most inappropriate question you have ever been asked?...

What is the best interview question and/or the most inappropriate question you have ever been asked? Why do you feel that way and how did you respond?

Have you ever read something that you suspected was fake news? In this week’s reading you...

Have you ever read something that you suspected was fake news? In this week’s reading you will learn about strategies for determining if a source is credible. One of those strategies is the CRAAP Test. Currency: Is the information up to date? Relevance: Is the information relevant to your research needs? Authority: Who is the source of the information? Accuracy: How reliable and truthful is the information? Can the information be verified? Purpose: Why does the information exist? How can...

Question