GATE ME 2014 Set 1 — Question 38
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67EasyRandom VariablesProbabilityEngineering MathematicsExpectation & Moments
Engineering Mathematics → Probability → Expectation & Moments
Last updated
Question
In the following table, is a discrete random variable and is the probability density. The standard deviation of is
| 1 | 2 | 3 | |
|---|---|---|---|
| 0.3 | 0.6 | 0.1 |
Correct answer
(D) 0.6
Solution
Step 1: Calculate the mean (expected value) .
Step 2: Calculate .
Step 3: Calculate the variance .
Step 4: Calculate the standard deviation .
Therefore, the correct option is (D).
Step 2: Calculate .
Step 3: Calculate the variance .
Step 4: Calculate the standard deviation .
Therefore, the correct option is (D).
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…