According to a poll, the extent to which employees are engaged with their workpl

Question

According to a poll, the extent to which employees are engaged with their workplace varies from country to country. It is reported that the percentage of workers in Country A that are engaged with their workplace is higher than the percentage of workers in Country B. The study also shows that having more engaged workers leads to increased innovation productivity, and profitability, as well as reduced employee turnover. The table to the right summarizes the results. Complete parts (a) through (d) below. Country Engagement Engaged Not engaged 925 1097 2022 Total A B Total 640 468 1108 1565 1565 3130 a. What is the probability that a randomly selected employee is engaged with his or her workplace? Round to three decimal places as needed.) b. What is the probability that a randomly selected employee is from Country A? (Round to three decimal places as needed.) c. What is the probability that a randomly selected employee is engaged with his or her workplace or is from Country A? (Round to three decimal places as needed.) d. Explain the difference in the results in (b) and (c). 0 A. The two events in part (c) are mutually exclusive, but part (b) has only one event. O B. The probability in part (b) is a marginal probability, while the probability in part (c) is the sum of two marginal probabilities minus a joint probability C. D. The two events in part (c) are collectively exhaustive, while the event in part (b) is not. The probability in part (b) is a joint probability, while the probability in part (c) is a simple probability.

Explanation / Answer

The required probabilities can be found from the above table

a) P(engaged)=1108/3130 =0.354 (total engaged /grand total)

b) P(country A)= 1565/3130 = 0.5

c) P(engaged or from country A)=P(engaged)+P(country A)-P(engaged and from country A) =0.354+0.5-640/3130 = 0.6495

d) Answer D is correct

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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