In a factory, machine A produces 60% of items (defective 2%) and machine B 40% (defective 5%). If an item is defective, the probability it came from B is: MCQ with Answer and Explanation

In a factory, machine A produces 60% of items (defective 2%) and machine B 40% (defective 5%). If an item is defective, the probability it came from B is:
A. 0.375
B. 0.8
C. 0.625
D. 0.5
Answer: Option C
Solution (By JKExamLibrary)
Bayes: P(B|D)= (0.05×0.4)/(0.02×0.6 + 0.05×0.4) = 0.02/0.032 = 0.625.

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error
Consider the following statements about ogive: 1. It is a graph of cumulative frequency. 2. The median can be located from the point where cumulative frequency is N/2. 3. Ogive can be used to estimate mode. Which of the above is/are correct?
A. 1, 2 and 3
B. 2 and 3 only
C. 1 and 3 only
D. 1 and 2 only

Correct Answer: Option D


Explanation:
Ogive plots cumulative frequencies; median is at N/2. Mode is not found from ogive; it is found from histogram/frequency polygon.

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Question #2 Report Error
When constructing a frequency polygon, the frequencies are plotted against:
A. Upper class limits
B. Cumulative frequencies
C. Lower class limits
D. Class marks (midpoints)

Correct Answer: Option D


Explanation:
A frequency polygon connects the points formed by the class frequencies plotted at the exact midpoints of the class intervals.

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Question #3 Report Error
Wholesale Price Index (WPI) in India primarily measures price changes for goods at which stage?
A. Import at customs
B. First point of bulk sale in the market
C. Factory gate before any distribution
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Correct Answer: Option B


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WPI tracks price movements of goods traded in bulk at the wholesale level (first point of mass sale), reflecting producer and wholesale market inflation, distinct from consumer-focused CPI.

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