etter than those without cats? To help answer this question, a cat enthusiast obtained a random sample of 500 Canadians, each of whom answered two questions: 1. do you have a cat? (yes or no), 2. How well do you

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  1. Do cat owners sleep better than those without cats? To help answer this question, a cat enthusiast obtained a random sample of 500 Canadians, each of whom answered two questions: 1. do you have a cat? (yes or no), 2. How well do you sleep? (good, neutral, bad). The dataset “CatSleep.xlsx” contains her findings.

 

  1. Find the probability that a randomly selected Canadian is a bad sleeper and a cat owner.
  2. Find the probability that a randomly selected Canadian is a neutral sleeper or a cat owner.
  3. Find the probability that a randomly selected non-cat owner is a bad sleeper. That is, find the probability that a randomly selected Canadian is a bad sleeper, given they are not a cat owner
Cat (C₂)
No Cat (C₂)
Total
Good (S₁)
58
67
125
Neutral (S₂)
70
168
238
Bad (S3)
75
62
137
Total
190
310
500
Transcribed Image Text:Cat (C₂) No Cat (C₂) Total Good (S₁) 58 67 125 Neutral (S₂) 70 168 238 Bad (S3) 75 62 137 Total 190 310 500
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