1. Consider a population of adults in which 40% are aged 18-45, 32% are aged 45-65, and 28% are aged 65+. Arthritis risk varies dramatically by age: 7% of 18-44 year olds have arthritis, while the proportion rule! of adults with arthritis is 30% for the 45-64 age group, and 50% for the 65+ age group. If we draw an adult at random from this population and find out they have arthritis, what is the prob they are 65+? Use Bayes'

MATLAB: An Introduction with Applications
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1. Consider a population
of adults in which 40% are aged 18-45, 32% are aged 45-65, and 28% are aged
65+. Arthritis risk varies dramatically by age: 7% of 18-44 year olds have arthritis, while the proportion
of adults with arthritis is 30% for the 45-64 age group, and 50% for the 65+ age group. If we draw
an adult at random from this population and find out they have arthritis, what is the probabilit
they are 65+? Use Bayes'
rule!
Transcribed Image Text:1. Consider a population of adults in which 40% are aged 18-45, 32% are aged 45-65, and 28% are aged 65+. Arthritis risk varies dramatically by age: 7% of 18-44 year olds have arthritis, while the proportion of adults with arthritis is 30% for the 45-64 age group, and 50% for the 65+ age group. If we draw an adult at random from this population and find out they have arthritis, what is the probabilit they are 65+? Use Bayes' rule!
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