Question 310792:  From a large survey of customers using a chain of coffee shops, 60% of the customers are male, 50% purchase food, 15% are both Male and purchase food. 
What are the probability that: A customer is both female and purchases food? A female customer purshases food? A customer purchasing food is female? 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! From a large survey of customers using a chain of coffee shops, 60% of the customers are male, 50% purchase food, 15% are both Male and purchase food. 
What are the probability that: A customer is both female and purchases food? A female customer purshases food? A customer purchasing food is female? 
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With the given data, develop a contingency table. 
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Let fe be female ; Let fo be purchases food 
P(fe and fo) = 0.35 
P(fo | fe) = 35/40 = 0.875 
P(fe | fo) = 35/50 = 0.70 
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Cheers, 
Stan H. 
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