12. The following study that was done in a company in the USA about its politica

Question

12. The following study that was done in a company in the USA about its political affiliation and the employees were grouped by their type of work, executive or production worker. Afiliation Democrats Republicans Other Employee type Executive 50 Production worker 63 30 20 10 A. If you select a person from this study, determine the probability that: a. Be Republican b. Be Republican given that he is a production worker c. Be a Republican and a production worker d. Be a democrat or production worker e. Do not be a Democrat B. Are the democratic and executive, independent events? Explain.

Explanation / Answer

Total Number of employees surveyed = 50 + 30 + 8 + 63 + 20 + 10 = 181

A) a. P(Republican) = (30+20)/181 = 50/181 = 0.2762

b. P(Republican | Production worker) = 20/(63 + 20 + 10) = 20/93 = 0.2151

c. P(Republican and Production worker) = 20/181 = 0.1105

d. P(Democrat or Production worker) = (50 + 63 + 20 + 10)/181 = 0.7901

e. P(Not Democrat) = 1 - P(Democrat) = 1 - (50 + 63)/181 = 0.3757

B. P(Democrat) = (50+63)/181 = 0.6243

P(Executive) = (50 + 30 + 8)/181 = 88/181 = 0.4862

And

P(Democrat and Executive) = 50/181 = 0.2762

P(Democrat)*P(Executive) = 0.6243*0.4862 = 0.3035

Since above probability is not equal to P(Democrat and Executive), these events are not independent.

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

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