MHB Probability using the complement rule

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The discussion focuses on calculating probabilities using the complement rule within a binomial distribution framework, where 16 percent of American households rely solely on cell phones for service. For a sample of eight households, the probability that none use a cell phone exclusively is calculated, as well as the probability that at least one does. Additionally, the probability of at least five households using a cell phone exclusively is explored. The parameters for these calculations are defined as n = 8 and p = 0.16. Understanding these probabilities is essential for analyzing household telecommunication trends.
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"It is reported that 16 percent of American households use a cell phone exclusively for their tele- phone service. In a sample of eight households, find the probability that:
a. None use a cell phone as their exclusive service.
b. At least one uses the cell exclusively.
c. At least five use the cell phone.
 
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trastic said:
"It is reported that 16 percent of American households use a cell phone exclusively for their tele- phone service. In a sample of eight households, find the probability that:
a. None use a cell phone as their exclusive service.
b. At least one uses the cell exclusively.
c. At least five use the cell phone.

This is a binomial distribution with n = 8 and p = 0.16.
 
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