Subtopic: Discrete & Continuous Probability Distributions
Question Statement:
The number of clones to represent this fragment in genomic library with a probability of 95% are
(A) 5.9 x103 (B) 4.5 x103 (C) 3.6 x103 (D) 2.4 x103
Statement for Linked Answer Questions 54 and 55:
During sterilization of a fermentation medium in a given bioreactorheating= 12.56, cooling = 7.48 and the
total value of required for whole sterilization process is 52, where is the design criteria.
Options:
(A) 5.9 x103
(B) 4.5 x103
(C) 3.6 x103
(D) 2.4 x103
Statement for Linked Answer Questions 54 and 55:
During sterilization of a fermentation medium in a given bioreactorheating= 12.56, cooling = 7.48 and the
total value of required for whole sterilization process is 52, where is the design criteria.
Official Answer Key:
D
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2013 Q.53)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: BT
- **Question Type**: **MCQ** (2 Marks)
- **Core Topic**: Engineering Mathematics
**2. Detailed Step-by-Step Analytical & Scientific Derivation**:
- **Systematic Conceptual & Option-by-Option Evaluation**:
- Problem Focus: *"The number of clones to represent this fragment in genomic library with a probability of 95% are..."*
- **Option (D) [CORRECT]**: *"2.4 x103
Statement for Linked Answer Questions 54 and 55:
During sterilization of a fermentation medium in a given bioreactorheating= 12.56, cooling = 7.48 and the
total value of required for whole sterilization process is 52, where is the design criteria."*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"5.9 x103"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (B) [INCORRECT]**: *"4.5 x103"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (C) [INCORRECT]**: *"3.6 x103"* does not satisfy the precise boundary conditions or molecular specificity.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **D**
- **Scoring Criteria**: 2 Marks (Negative marking: -0.66 marks).
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