In a race for the presidential election, the Republican candidate leads by 54%.

Question

In a race for the presidential election, the Republican candidate leads by 54%. A Republican judge is hoping to be appointed to a federal position. The judge believes in the Republican candidate wins the presidency, he will have a 91% of being appointed a federal judge. If not, he believes he only has a 34% chance of being appointed.

Let R = the Republican candidate wins the Presidential Election and F = the judge is appointed a federal position

a) What’s probability the judge will be appointed to the Federal position?

b) Ideally, the judge wants to be appointed the federal position and have the Republican candidate as president. What’s the probability of both events occurring?

c) The worst case scenario for the judge is that the Republican candidate loses and he is not appointed a federal position. What’s the probability of both events occurring?

Explanation / Answer

(a) Probability = 0.6478

(b) Probability = 0.4914

(c) Probability = 0.3036

Appointed as judge Not appointed as judge Total Wins election 0.91 * 0.54 = 0.4914 0.54 - 0.4914 = 0.0486 0.54 Loses election 0.34 * 0.46 = 0.1564 0.46 - 0.1564 = 0.3036 1 - 0.54 = 0.46 Total 0.6478 0.3522 1

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

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