IQ is a scoe that is transofrmed so that it has a normal distribution with a mean 100 and standard deviation 16. Let x be the IQ of a randomly chosen person. What percentage of people have an IQ less than 112, an IQ between 96 and 120, and an IQ above 125?
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!
IQ is a scoe that is transofrmed so that it has a
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