In an Effort to Persuade Customers to Reduce Their Electricity

Short Answer

In an effort to persuade customers to reduce their electricity consumption, special discounts have been offered for low consumption customers. In Florida, the EPA estimates that 70% of the residences have qualified for these discounts.
If we randomly select four residences in Florida, what is the probability exactly two of the four will have qualified for the discounts?
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If, instead, a sample of 20 residences is selected, what is the probability 12 or more will have qualified for the discounts?
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