403,272 views
39 votes
39 votes
Use the data in the table below, which shows the employment status of individuals in a particular town by age group.A. person from the town is randomly selected; what is the probability that the individual is employed full-time, given that he or she is between 18 and 49 years of age?Enter a fraction, integer, or exact decimal. Do not approximate.Full-time Part-timeUnemployed0-172416437118-2519520314826-34348752735-4958117911150+173443162

Use the data in the table below, which shows the employment status of individuals-example-1
User Will Custode
by
3.0k points

1 Answer

13 votes
13 votes

The probability that a randomly selected person is employed full time, given that he or she is between 18 and 49 years of age is given by


P(\text{Employed full time \mid 18 - 49 years})=\frac{\text{Employed full time at age 18 - 49}}{\text{Total \# of individual age 18 - 49}}
\begin{gathered} P(\text{Employed full time \mid18 - 49 years})=(195+348+581)/(195+203+148+348+75+27+581+179+111) \\ P(\text{Employed full time \mid18 - 49 years})=(1124)/(1867) \end{gathered}

Therefore, the probability is 1124/1867.

User Suz
by
3.3k points