Analysis of bottled water. 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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