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Probability that a house in urban area will be burglarized

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The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized?

(a) Is this a binomial experiment? Explain how do you know.
(b) Use the correct formula to find the probability that, out of 50 houses, exactly 4 of the houses will be burglarized. Show your calculations or explain how you found the probability.

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p = 0.05, q = 1 - p = 0.95, n = 50; P(r) = nCr p^r q^(n - ...

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