4.72 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 (www.nrdc.org). Consider a sample of five bottled-water brands, and let x equal the number of these brands that use tap water. NW 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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4.72 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 (www.nrdc.org). Consider
a sample of five bottled-water brands, and let x equal the
number of these brands that use tap water.
NW 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).
Transcribed Image Text:4.72 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 (www.nrdc.org). Consider a sample of five bottled-water brands, and let x equal the number of these brands that use tap water. NW 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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