Which of the following statement(s) is/are TRUE for a given acceptance sampling plan?
- Type II error decreases with an increase in type I error.
- The probability of rejecting a good quality lot is producer's risk.
- Type II error decreases with a decrease in sample size.
- The probability of rejecting a good quality lot is consumer's risk.
The Correct Option is A, B
Solution and Explanation
Top Questions on Probability
- What is the probability of getting a sum of \(9\) when two fair dice are rolled simultaneously?
- CUET (PG) - 2026
- Data Science
- Probability
The probability of hitting the target by a trained sniper is three times the probability of not hitting the target on a stormy day due to high wind speed. The sniper fired two shots on the target on a stormy day when wind speed was very high. Find the probability that
(i) target is hit.
(ii) at least one shot misses the target.
Smoking increases the risk of lung problems. A study revealed that 170 in 1000 males who smoke develop lung complications, while 120 out of 1000 females who smoke develop lung related problems. In a colony, 50 people were found to be smokers of which 30 are males. A person is selected at random from these 50 people and tested for lung related problems. Based on the given information answer the following questions:
(i) What is the probability that selected person is a female?
(ii) If a male person is selected, what is the probability that he will not be suffering from lung problems?
(iii)(a) A person selected at random is detected with lung complications. Find the probability that selected person is a female.
OR
(iii)(b) A person selected at random is not having lung problems. Find the probability that the person is a male.
- Mother, Father and Son line up at random for a family picture. Let events \(E\): Son on one end and \(F\): Father in the middle. Find \(P(E/F)\).
- For two events $A$ and $B$ such that $P(A)>0$ and $P(B)=1$, $P(A^c/B^c)$ is
Questions Asked in GATE PI exam
A through hole of 10 mm diameter is to be drilled in a mild steel plate of 30 mm thickness. The selected spindle speed and feed for drilling hole are 600 revolutions per minute (RPM) and 0.3 mm/rev, respectively. Take initial approach and breakthrough distances as 3 mm each. The total time (in minute) for drilling one hole is ______. (Rounded off to two decimal places)
- GATE PI - 2026
- Machining Processes and Machine Tools
In a cold rolling process without front and back tensions, the required minimum coefficient of friction is 0.04. Assume large rolls. If the draft is doubled and roll diameters are halved, then the required minimum coefficient of friction is ___________. (Rounded off to two decimal places)
- GATE PI - 2026
- Machining Processes and Machine Tools
- The relationship between the hoop stress \(\sigma_1\) and the longitudinal stress \(\sigma_2\) of a closed cylindrical thin-walled pressure vessel is
- GATE PI - 2026
- Machining Processes and Machine Tools
- Which one of the following casting defects is caused due to the supply of the molten metal through two gates?
- GATE PI - 2026
- Machining Processes and Machine Tools
- Three principal stresses at a point in a material are 300 MPa, 250 MPa, and 100 MPa. If the yielding just starts at that point, the yield strength (in MPa) of the material as per Tresca criterion is ............
Answer: The yield strength lies between 199 to 201 MPa.- GATE PI - 2025
- Industrial and Production