Analysis of bottled water. Refer to the Scientific American(July 2003) report on whether bottled water is reallypurified water, presented in Exercise. Recallthat the Natural Resources Defense Council found that25% of bottled-water brands fill their bottles with just tapwater. In a random sample of 65 bottled-water brands, let x be the number that contain tap water.
a. Find the mean of x.
b. Find the standard deviation of x.
c. Find the z-score for the value x= 20.
d. Find the approximate probability that 20 or more ofthe 65 sampled bottled-water brands will contain tapwater.
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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