Population Age The following chart shows the ages of 250 randomly selected residents of a certain country. Frequency 120아 100아 91 80 80 60 60 40 19 20 Age 0-14 15-29 30–64 65-74 What is the associated random variable? The associated random variable is a randomly selected resident of this country. The associated random variable is the 250 randomly selected residents of this country. The associated random variable is the age of a randomly selected resident of this country. The associated random variable is the collection of ages all residents of this country. Represent the data as a relative frequency distribution using the (rounded) midpoints of the given measurement classes. 7 22 47 70 P(X = x)
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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