A study discovered that Americans consumed an average of 13.3 pounds of chocolate per year. Assume that the annual chocolate consumption follows the normal distribution with a standard deviation of 3.4 pounds. Complete parts a through e below. What is the probability that an American will consume exactly 12 pounds of chocolate next year? nothing (Round to four decimal places as needed.) e. What is the annual consumption of chocolate that represents the 80th percentile? The 80th percentile is represented by an annual consumption of pounds of chocolate. (Type an integer or decimal rounded to one decimal place as needed.)
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!
A study discovered that Americans consumed an average of
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