Suppose SAT scores roughly follows a normal distribution in the U.S population of college-bound students (with range restricted 200-800) and the average math SAT is 525 with a standard deviation of 60, then solve fo the area under the curve of the following interval of scores between 370 and 625 400 and 600 350 and 650
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!
Suppose SAT scores roughly follows a
400 and 600
350 and 650
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