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  1. Use the following data.

 

Have pets

Do not have pets

Total

Men

0.41

0.08

0.49

Women

0.45

0.06

0.51

Total

0.86

0.14

1

  1. What is the probability of a randomly selected person being a man, given that they do not own a pet?
  2. What is the probability for a woman to be a pet owner?
  3. How likely is that a randomly selected person is a pet owner man?
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  1. Probability of a randomly selected person being a man, given that they do not own a pet = $\frac{0.08}{0.14} = 0.5714$
  2.  Probability for a woman to be a pet owner = $\frac{0.45}{0.86} = 0.5232$ 
  3. Probability that a randomly selected  pet owner is a man = $\frac{0.41}{0.86} = 0.4767$