A survey involving 600 likely Democratic voters and 200 likely Republican voters

Question

A survey involving 600 likely Democratic voters and 200 likely Republican voters asked the question: Do you support or oppose legislation that would require trigger locks on guns, to prevent misuse by children? The following results were obtained: Answer Support Oppose Don't know/refused Democrats,90 Republicans,% 75 16 If a randomly chosen respondent in the survey answered "support," what is the probability that he or she is a likely Republican voter? (Round your answer to three decimal places.)

Explanation / Answer

Total number of support voters is computed as:

= 0.88*Num of democrat voters + 0.75*Num of republican voters

= 0.88*600 + 0.75*200

= 678

Now probability that a chosen support voter is republican is computed as:

= 0.75*Num of republican voters / 678

= 150 / 678

= 0.221

Therefore 0.221 is the required probability here.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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