GATE ME 2023 Set 1 — Question 53
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0HardTolerance Stack-UpMetrology & InspectionMetrology, CIM & Additive MfgNormal DistributionStatistics & DistributionsEngineering Mathematics
Engineering Mathematics → Metrology & Inspection → Normal Distribution
Last updated
Question
A part, produced in high volumes, has a stepped profile. Along its length, the overall dimension D2 is made up of the step length D1 followed by the remaining length C, i.e. . The machining process making this part is known to be statistically in control based on sampling data. The sampling data shows that D1 follows a normal distribution with a mean of 20 mm and a standard deviation of 0.3 mm, while D2 follows a normal distribution with a mean of 35 mm and a standard deviation of 0.4 mm. An inspection of dimension C is carried out in a sufficiently large number of parts.To be considered under six-sigma process control, the upper limit of dimension C should be __________ mm.(Rounded off to one decimal place)
Correct answer
16.4 to 16.6
Solution
Since and D1, D2 are independent normal variables:
- Mean:
- Standard deviation:
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 Metrology & Inspection
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…