A particular community wants to address the problem of racial conflict in the lo

Question

A particular community wants to address the problem of racial conflict in the local high school. The mayor decides to set up a three-person commission of residents to advise him. To be completely fair in the selection process, the mayor decides to choose the commission members at random, designating the first selection as the chair. The racial-ethnic composition of the community is 50% white, 30% black, and 20% Latino. What is the probability that

a) The Chair is a white resident?

b) The Chair is a black resident?

c) The chair is white or Latino?

d) all three commission members are black?

Explanation / Answer

a. P(the chair is a white resident) = 0.5 ------------------------------------------------------------ b. P(the chair is a black resident) = 0.3 ------------------------------------------------------------- c. P(the chair is white or Latino) =0.5+0.2 = 0.7 ------------------------------------------------------------------------------------ d. P(all three commission members are black)= (0.3)^3 = 0.027

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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