According to a recent poll for two countries Z and Y, the percentage of workers

Question

According to a recent poll for two countries Z and Y, the percentage of workers in country Z that are engaged with their workplace is more than twice as high as the percentage of workers in country Y that are engaged with their workplace. Use the results from the poll, which are summarized in the table, to answer (a) through (d) below Click the icon to view the data table a. Given that a worker is from country Z, what is the probability that the worker is engaged? 0.2782 (Round to four decimal places as needed.) b. Given that a worker is from country Z, what is the probability that the worker is not engaged? (Round to four decimal places as needed.) summary table COUNTRY ENGAGEMENT Engaged Not engaged Total Total 676 3,242 1,9593,918 545 1,414 1,959 131 1,828 Print Done

Explanation / Answer

a) P(from country Z)=1959/3918

P(worker is engaged)=676/3918

P(from country Z and is engaged)=545/3918 (intersection of both)

Thus, P(engaged | from country Z) =P(from country Z and is engaged)/P(from country Z) = 545/1959 =0.2782

b) P(not engaged)=3242/3918

P(not engaged and from Z)=1414/3918

Thus, P(not engaged | form country Z)=P(not engaged and from Z)/P(from country Z)=1414/1959=0.7218

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.