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CSS Statistics QUESTION #2002
Question 1
Using the same company data (800 employees, 160 degree holders, 272 managers, 80 are both), the conditional probability \(P(\text{college graduate} \mid \text{manager})\) is:
  • \(\dfrac{80}{160}\)
  • \(\dfrac{80}{272}\)✔️
  • \(\dfrac{272}{800}\)
  • \(\dfrac{160}{272}\)
Correct Answer Explanation
\(P(\text{grad} \mid \text{manager}) = \dfrac{P(\text{grad} \cap \text{manager})}{P(\text{manager})} = \dfrac{80/800}{272/800} = \dfrac{80}{272} \approx 0.294\). This is the definition of conditional probability.