In 2014, the per capita consumption of soft drinks in the United States was reported to be 42.1 gallons. Assume that the per capita consumption of soft drinks in the United States is approximately normally distributed with a mean of 42.1 gallons and a standard deviation of 13 gallons. What is the probability that someone in the United States consumed more than 60 gallons of soft drinks in 2014? What is the probability that someone in the United States consumed between 15 and 30 gallons of soft drinks in 2014? What is the probability that someone in the United States consumed less than 15 gallons of soft drinks in 2014? Ninety-nine percent of the people in the United States consumed less than how many gallons of soft drinks?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
. In 2014, the per capita consumption of soft drinks in the United States was reported to be 42.1 gallons. Assume that the per capita consumption of soft drinks in the United States is approximately
- What is the
probability that someone in the United States consumed more than 60 gallons of soft drinks in 2014? - What is the probability that someone in the United States consumed between 15 and 30 gallons of soft drinks in 2014?
- What is the probability that someone in the United States consumed less than 15 gallons of soft drinks in 2014?
- Ninety-nine percent of the people in the United States consumed less than how many gallons of soft drinks?
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