GATE BT 2011 • Q53 MCQ • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Discrete & Continuous Probability Distributions

Question Statement:

The value of standard deviation (SD) will be

Options:

  • (A) Q.061
  • (B) Q.25
  • (C) Q.61
  • (D) Q.85 2011 BT Statement for Linked Answer Questions 54 and 55: A 200 ul of polymerase chain reaction has 100 template DNA molecules and the reaction was performed for 10 cycles.

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2011 Q.53)** **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: *"The value of standard deviation (SD) will be..."* - **Option (B) [CORRECT]**: *"0.25"* - Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required. - **Option (A) [INCORRECT]**: *"0.061"* does not satisfy the precise boundary conditions or molecular specificity. - **Option (C) [INCORRECT]**: *"0.61"* does not satisfy the precise boundary conditions or molecular specificity. - **Option (D) [INCORRECT]**: *"0.85 BT 10/16 --- PAGE 11 --- 2011 BT Statement for Linked Answer Question"* does not satisfy the precise boundary conditions or molecular specificity. **3. Final Answer / Verification Summary**: - **Official GATE Answer Key**: **B** - **Scoring Criteria**: 2 Marks (Negative marking: -0.66 marks).

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