Is the bottled water you are drinking really purified water? Ina four-year study of bottled water brands conducted by the NaturalResources Defense Council found that 25% of bottled water is justtap water packed in a bottle. Consider a sample of five brands ofbottled water and let X equal the number of these brands that usetap water.
1. Explain why X is (approximately) a binomial randomvariable.
2. Find that the P (x = 2)
3. Find that the P (x <= 1)
4. Calculate the expected value and standard deviation of thedistribution.