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You are part of a research team looking into the relationship between gender and

ID: 3072301 • Letter: Y

Question

You are part of a research team looking into the relationship between gender and exercise. You take a large sample of individuals, half of whom are male and half are female. You find about 80% of males have exercised in the last month, while 70% of females have exercised in the last month. Use this information to answer problems 5 - 6.

5. Using formal probability notation, what are the two events in this study? What probabilities are given?

6. Are gender and exercise independent? Are they mutually exclusive? Explain (Max 3 sentences total).

Explanation / Answer

5. The First Event in the Study is Excercises of Males in the Last Month

And Probability is 0.80

Second Event is Excercises of Females in the Last Month and Probability is 0.70

6. Yes, Gender and Exercise Independent.

Because, We can not Judge Anything From Gender about Exercise Interest it may differs from individual opinion

Now, Coming to the Point whether they are mutually Exclusive, definition of mutually exclusive is that bothe events can not happen simultaneously, but here gender and exercise can happen simultaneously.

So they are not Mutually Exclusive.

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