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X) 4.2.24 Question Help According to a recent poll for two countries Z and Y, th

ID: 2922743 • Letter: X

Question

X) 4.2.24 Question Help 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 E 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? 7218 (Round to four decimal places as needed c. Given that the worker is from country Y, what is the probability that the worker is engaged? (Round to four decimal places as needed.) 1 summary table COUNTRY ENGAGEMENT Engaged Not engaged Total Total 676 1,8283,242 1,959 3,918 545 131 1,959 PrintDone Enter your answer in the answer box and the

Explanation / Answer

a) P(from Z)=1959/3918

P(engaged and from Z)=545/3918

thus P(engaged| from Z)=545/1959=0.2782

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

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

c) P(from Y)=1959/3918

P(Y and engaged)=131/3918

thus it is 131/1959 =0.0669