Public Health and Nutrition Many typical household cleaners contain toxic chemicals. 2-Butoxyethanol is found in multipurpose cleaners and is a very powerful solvent. The EPA has a safety standard for this chemical when used in the workplace, but cleaning at home in a confined area can cause levels to rise well above this standard. The mean percent of 2-butoxyethanol in Rain-X Glass Cleaner is 3.11 Suppose the distribution is approximately normal and the standard deviation is 1%, and a random bottle of Rain-X Glass Cleaner is selected.
a. What is the probability that the percentage of 2-butoxyethanol is less than 2.5?
b. What is the probability that the percentage of 2-butoxyethanol is between 2.2 and 3.5?
c. Suppose the EPA has established a limit of 5% 2-butoxyethanol in all consumer products. What is the probability that a bottle exceeds this limit?