In 2008, the per capita consumption of soft drinks in Country A was reported to be 18.16 gallons. Assume that the per capita consumption of soft drinks in Country A is approximately normally distributed, with a mean of 18.16 gallons and a standard deviation of 5 gallons. What is the probability that someone in Country A consumed more than 11 gallons of soft drinks in 2008? The probability is__. What is the probability that someone in Country A consumed between 3 and 7 gallons of soft drinks in 2008? The probability is __. What is the probability that someone in Country A consumed less than 7 gallons of soft drinks in 2008? The probability is ___.
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 2008, the per capita consumption of soft drinks in Country A was reported to be 18.16 gallons. Assume that the per capita consumption of soft drinks in Country A is approximately
What is the
The probability is__.
What is the probability that someone in Country A consumed between 3 and 7 gallons of soft drinks in 2008?
The probability is __.
What is the probability that someone in Country A consumed less than 7 gallons of soft drinks in 2008?
The probability is ___.
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