Age and Gender. The U.S. Census Bureau publishes census data on the resident population of the United States in Current Population Survey. According to that document, 7.3% of male residents are in the age group 20–24 years. a. If no association exists between age group and gender, what percentage of the resident population would be in the age group 20–24 years? Explain your answer.b. If no association exists between age group and gender, what percentage of female residents would be in the age group 20–24 years? Explain your answer.c. There are about 158 million female residents of the United States. If no association exists between age group and gender, how many female residents would there be in the age group 20–24 years?d. In fact, there are some 10.9 million female residents in the age group 20–24 years. Given this number and your answer to part (c), what do you conclude?
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!
Age and Gender. The U.S. Census Bureau publishes census data on the resident population of the United States in Current Population Survey. According to that document, 7.3% of male residents are in the age group 20–24 years.
a. If no association exists between age group and gender, what percentage of the resident population would be in the age group 20–24 years? Explain your answer.
b. If no association exists between age group and gender, what percentage of female residents would be in the age group 20–24 years? Explain your answer.
c. There are about 158 million female residents of the United States. If no association exists between age group and gender, how many female residents would there be in the age group 20–24 years?
d. In fact, there are some 10.9 million female residents in the age group 20–24 years. Given this number and your answer to part (c), what do you conclude?
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