GATE ME 2020 Set 2 — Question 11
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumRandom VariablesProbabilityEngineering MathematicsNormal DistributionStatistics & Distributions
Engineering Mathematics → Probability → Normal Distribution
Last updated
Question
The sum of two normally distributed random variables and is
- A.always normally distributed
- B.normally distributed, only if and are independent
- C.normally distributed, only if and have the same standard deviation
- D.normally distributed, only if and have the same mean
Answer checking is unavailable for this question. You can review the published solution without a score.
Correct answer
(MTA)
Solution
The sum of two normally distributed random variables and is normally distributed if they are jointly normal. If they are only marginally normal, their sum is not necessarily normal. Since the question does not specify joint normality, it is technically ambiguous, leading to "Marks To All" (MTA) in the official GATE answer key.
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Probability
2026 Set 1 Q11Domain is bounded by curve , ordinate , and axis. The value of…2026 Set 1 Q12Let be a scalar function. Then, is2026 Set 1 Q13The order and degree of the following differential equation are and , respectively.…2026 Set 1 Q14Newton-Raphson method for solving algebraic equations is based on2026 Set 1 Q15The exact solution of is represented as . If represents…