The average precipitation for the first 8 months of the year is 18.35 inches with a standard deviation of 2.2 inches. Assume that the average precipitation is normally distribut ed. 5. What is the average precipitation of 5 randomly selected years for the first 8 months? A. 18.35 inches B. 19.32 inches C. 19.35 inches D. 20 inches 6. What is the standard deviation of 5 randomly selected years for the first 8 months? A . 0.9930 B. 0.9839 C. 0.9837 D. 0.9720 7. What is the probability of 5 randomly selected years will have an average precipitation greater than 19 inches for the first month? A. 0.2454 B. 0.2546 C. 0.2645 D. 0.2735
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!
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