(a) Approximate the population mean and standard deviation of age for males Male and female populations of tortoises under 80 years old are represented by age in the table below. Complete parts (a) through (d). = years (Round to two decimal places as needed) = years (Round to two decimal places as needed) Age Males Females 0-9 10-19 20-29 30-39 40-49 50-59 60-69 70-79 11 (b) Approximate the population mean and standard deviation of age for females 13 -years (Round to two decimal places as needed) 18 15 19 20 - years (Round to two decimal places as needed) 22 20 20 23 19 (c) Which gender has the higher mean age? 16 14 13 have the higher mean age (d) Which gender has the higher dispersion in age? have the greater dispersion Enter your answer in each of the answer boxes
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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