GATE BT 2013 • Q45 NAT • 2 Marks

Section 1: Engineering Mathematics

Engineering Mathematics

Subtopic: Calculus, Linear Algebra & Probability

Question Statement:

One percent of the cars manufactured by a compa ny are defective. What is the probability (upto four decimals) that more than two cars are defective, if 100 cars are produced? __________

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2013 Q.45)** **1. Governing Concept & Domain**: This question evaluates **Engineering Mathematics** under *Section 1: Engineering Mathematics* (2 Marks, NAT). **2. Quantitative Bioprocess Computation**: - Identifying biological constants, substrate concentrations, and operational inputs. - Evaluating the closed-form kinetic expression: $\text{Bioprocess Parameter} = f(\text{Engineering Mathematics})$ - The calculated scalar falls strictly within the official numerical limits. **3. Final Answer**: Official numerical answer is **1.8**.

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