Allied & ICAR Exam Bank • ALLIED_1879 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

A diagnostic test for a plant disease is 95% accurate for diseased plants and has a 5% false positive rate for healthy plants. If 2% of plants in a grove actually have the disease, what is the probability that a plant testing positive is genuinely diseased?

Options:

  • (A) $\approx 0.279$
  • (B) $\approx 0.500$
  • (C) $\approx 0.950$
  • (D) $\approx 0.125$

Answer Key:

A

Step-by-Step Solution & Explanation

$P(D) = 0.02, P(H) = 0.98$. $P(+) = 0.02(0.95) + 0.98(0.05) = 0.019 + 0.049 = 0.068$. $P(D|+) = 0.019 / 0.068 \approx 0.279$.
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