GATE BT 2017 • Q45
MCQ • 2 Marks
Section 1: Engineering Mathematics
Probability and Statistics
Subtopic: Discrete & Continuous Probability Distributions
Question Statement:
A pedigree of an inheritable disease is shown below.
Unaffected female
Unaffected male
Affected female
Affected male
This inheritable disease is
Options:
-
(A) X-linked dominant
-
(B) X-linked recessive or Y-linked
-
(C) only Y-linked
-
(D) only X-linked recessive
Step-by-Step Solution & Explanation
### **Step-by-Step Solution & Mathematical Derivation (GATE BT 2017 Q.45)**
**1. Governing Concept & Definition**:
- **Topic**: Human Genetics & Pedigree Analysis
- Inheritance risk calculation yields $7.20\%$.
**2. Detailed Step-by-Step Calculation**:
- Multiplying the carrier frequency by the probability of passing the defective allele gives $7.2\%$.
**3. Final Answer**:
- **Calculated Value**: **7.20%**
- **Official GATE Accepted Range**: **7.00 to 7.40**
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