The population of a particular country consists of three ethnic groups. Each ind

Question

The population of a particular country consists of three ethnic groups. Each individual belongs to one of the four major blood groups. The accompanying joint probability table gives the proportions of individuals in the various ethnic group-blood group combinations. Suppose that an individual is randomly selected from the population, and define events by A = (type A selected), B = (type B selected), and C = {ethnic group 3 selected}. (a) Calculate P(A), P(C), and P(A Intersection C). (Enter your answers to three decimal places.) P(A) = P(C) = P(A Intersection B) = (b) Calculate both P(A | C) and P(C |A)= (Round your answers to three decimal places.) P(A | C) = P(C |A) =

Explanation / Answer

a) P(A) = 0.112 + 0.141 + 0.195 = 0.448

P(C) = 0.215 + 0.195 + 0.070 + 0.020 = 0.5

P(A C) = 0.195

b) P(A | C) = P(A C) / P(C) = 0.195 / 0.5 = 0.39

P(C | A) = P(A C) / P(A) = 0.195 / 0.448 = 0.435

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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