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Statistics, Probability ! Help!

 
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Jul6-11, 02:23 PM   #1
 

Statistics, Probability ! Help!


1. The problem statement, all variables and given/known data

The probability that Joe owns a microwave oven is 75%; the probability that he owns a CD player is 45%; and the probability that he owns both is 40%. Find the probability that he owns either one but not both.

2. Relevant equations

(work posted below)

3. The attempt at a solution

P(only microwave)= .75-.4 = .35
P(only CD Player) = .45 - .4 = .05
P(only micr. or CD Pl) = .35 + .05 = .4

Answer = .4
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Jul6-11, 03:49 PM   #2
 
You got it! Try visualizing it with a Venn diagram: 2 overlapping circles representing probabilities that he owns either or both, surrounded by a large circle that represents probability that he owns either, both, or neither. (Hint: probability he owns neither is 0.2)
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