Seattle, Washington averages mean = 34 inches of annual precipitation. Assuming that the distribution of precipitation amounts is approximately normal with a standard deviation of s = 6.5 inches, determine whether each of the following represents a fairly typical year, an extremely wet year, or an extremely dry year. a. Annual precipitaiton of 41.8 inches b. Annual precipitaiton of 49.6 inches c. Annual precipitaiton of 28.0 inches
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!
Seattle, Washington averages mean = 34 inches of annual precipitation. Assuming that the distribution of precipitation amounts is approximately normal with a standard deviation of s = 6.5 inches, determine whether each of the following represents a fairly typical year, an extremely wet year, or an extremely dry year.
a. Annual precipitaiton of 41.8 inches
b. Annual precipitaiton of 49.6 inches
c. Annual precipitaiton of 28.0 inches
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