In: Statistics and Probability
Is the bottled water you are drinking really purified water? In a four-year study of bottled water brands conducted by the Natural Resources Defense Council found that 25% of bottled water is just tap water packed in a bottle. Consider a sample of five brands of bottled water and let X equal the number of these brands that use tap water.
a. Explain why X is (approximately) a binomial random variable.
b. Find that the P (X = 2)
c. Find that the P (X <= 1)
d. Calculate the expected value and standard deviation of the distribution.