In 2015, the per capita consumption of bottled water in the United States was reported to be 36.2 gallons. Assume that the per capita consumption of bottled water in the United States is approximately normally distributed with a mean of 36.2 gallons and a standard deviation of 10 gallons. (a)What is the probability that someone in the United States consumed more than 33 gallons of bottled water in 2015? (b)What is the probability that someone in the United States consumed between 10 and 20 gallons of bottled water in 2015? (c)What is the probability that someone in the United States consumed less than 10 gallons of bottled water in 2015?

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.