GATE BT 2011 • Q52
MCQ • 2 Marks
Section 1: Engineering Mathematics
Probability and Statistics
Subtopic: Discrete & Continuous Probability Distributions
Question Statement:
Variance (Vx) for this population of fruit flies as calculated from the above data shall be
Options:
-
(A) Q.85
-
(B) Q.25
-
(C) Q.061
-
(D) Q.08
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2011 Q.52)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: Biotechnology
- **Question Type**: **MCQ** (2 Marks)
- **Core Topic**: Biochemistry, Microbiology & Molecular Biology
**2. Detailed Step-by-Step Analytical & Scientific Derivation**:
- **Systematic Conceptual & Option-by-Option Evaluation**:
- Problem Focus: *"Variance (Vx) for this population of fruit flies as calculated from the above data shall be..."*
- **Option (C) [CORRECT]**: *"0.061"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"0.85"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (B) [INCORRECT]**: *"0.25"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"0.08"* does not satisfy the precise boundary conditions or molecular specificity.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **C**
- **Scoring Criteria**: 2 Marks (Negative marking: -0.66 marks).
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