The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about 69 mm. Assume yearly rainfall is normally distributed. What yearly rainfall do 47% of all years of rain in Sydney, Australia have more than? Round your answer to two decimal places in the first box. Put the correct units in the second box.
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!
The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about 69 mm. Assume yearly rainfall is
What yearly rainfall do 47% of all years of rain in Sydney, Australia have more than?
Round your answer to two decimal places in the first box.
Put the correct units in the second box.
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