To find the probability of an individual being unemployed given that they are over 51 years old, we need to find the number of unemployed individuals in the 51+ age group and divide it by the total number of individuals in the 51+ age group.
From the table, we see that there are 172 unemployed individuals in the 51+ age group. The total number of individuals in the 51+ age group is 432 + 158 + 172 = 762.
Therefore, the probability that a person is unemployed, given that they are over 51 years old, is 172/762, which simplifies to approximately 0.226, or 22.6%.
The table below shows the employment status of individuals living in a particular town by age group.
Full-time Part-time Unemployed
0-17 26 150 393
18-50 357 56 18
51+ 432 158 172
If a person in this town is selected at random, what is the probability that the individual is unemployed, given that he or she is over 51 years old?
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