Question

The table below explored relationship between researcher’s age and the article database that they prefer. Use...

The table below explored relationship between researcher’s age and the article database that they prefer. Use this dataset to find the following probabilities.

Web of Science

Google Scholar

No Preference

40 or less

47

34

25

Over 40

32

46

13

a) What is the probability that a researcher has no preference in choosing a database given that s/he is over 40 years old?

b) Given that a researcher is 40 years old or less, what is the probability that s/he prefers Google Scholar

c) Let A be the event of selecting a researcher who is over 40 years old. Let B be the event of selecting a researcher who prefers Google Scholar. Are A and B mutually exclusive? Explain.

d) Are A and B independent? Explain

e) What is the probability that a researcher is over 40 years old or s/he prefers Web of Science or both?

f) What is the probability that a researcher is 40 or less and s/he has no preference in choice of article database?

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