Question

The annual per capita consumption of bottled water was 33.3 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 33.3 and a standard deviation of 11 gallons. a. What is the probability that someone consumed more than 38 gallons of bottled​ water? b. What is the probability that someone consumed between 20 and 30 gallons of bottled​ water? c. What is the probability that someone consumed less than 20 gallons of bottled​ water? d. 99.5​% of people consumed less than how many gallons of bottled​ water? (Round to 4 decimals on all questions)

Answer 1

(a) The probability of consuming more than 38 gallons of bottled water is approximately 0.3345 or 33.45%.

(b) The probability of consuming between 20 and 30 gallons of bottled water is approximately 0.

(c) The probability of consuming less than 20 gallons of bottled water is approximately 0.1151 or 11.51%.

(d) 99.5% of people consumed less than approximately 59.34 gallons of bottled water.