According to a recent poi 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.
a. Given that a worker is from country Z, what is the probability that the worker is engaged?
b. Given that a worker is from country Z, what is the probability that the worker is not engaged?
c. Given that the worker is from country Y, what is the probability that the worker is engaged?
d. Given that a worker is from country Y. what is the probability that the worker is not engaged?

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COUNTRY ENGAGEMENT Total 1,042 2,956 3,998 344 1,655 1,999 698 1,301 1,999 Engaged Not engaged Total