Explain the meaning of the accompanying percentiles. (a) The 15th percentile of the head circumference of males 3 to 5 months of age in a certain city is 41.5 cm. (b) The 75th percentile of the waist circumference of females 2 years of age in a certain city is 52.7 cm. (c) Anthropometry involves the measurement of the human body. One goal of these measurements is to assess 20 years or older for various age groups in a certain city in 2015. Based on the percentile measurements of the E Click the icon to view the data table for part c.
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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