Is the bottled water you’re drinking really purified water? A study of various brands of bottled water conducted by the Natural Resources Defense Council found that 25% of bottled water is just tap water packaged in a bottle (Scientific American, July 2003). Consider a sample of five bottled-water brands, and let x equal the number of these brands that use tap water. ,a. Explain why x is (approximately) a binomial random variable. ,b. Give the probability distribution for x as a formula. ,c. Find P(x = 2). ,d. Find P(x ? 1).

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