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According to one poll, about 60% of American households include at least one pet. Six new homes are built and sold. Construct a binomial distribution

According to one poll, about 60% of American households include at least one pet. Six new homes are built and sold.

Construct a binomial distribution for the random variable X, representing the number of these homes that will have one pet.

Find the mean, variance, and standard deviation of this distribution.

Find the probability that at least half of the new homes have pets.

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