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Probability that selected homes in Quail Creek will have a security system

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40% of the homes constructed in the Quail Creek area include a security system. Three homes are selected at random:

a. What is the probability all three of the selected homes have a security system?
b. What is the probability none of the selected homes have a security system?
c. What is the probability that at least one has a security system?

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Solution Summary

The solution provides a step by step method for the calculation of probability based on a binomial distribution. Formula for the calculation and interpretations of the results are also included.

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