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Statistics for Data Science II · Quiz 1 · 27 Oct 2024 · September 2024 term · Set 2

Question 12: Using Chebyshev’s inequality, find a lower bound on the …

Question 12

+3 marksOne correct option

Suppose that a factory manufactures electronic gadgets every day. A quality control team tracks the number of defective gadgets found in daily production runs. Let X be the number of defective gadgets produced on any given day. The mean and variance of X are 50 and 81, respectively. Based on the above data, answer the given subquestions.

Using Chebyshev’s inequality, find a lower bound on the probability that on a given day production will be between 30 and 70.

  1. A
    Figure from the original question paper
  2. B
    Figure from the original question paper
  3. C
    Figure from the original question paper
  4. D
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Correct answer

  • C
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Question 12 of 28 in the IIT Madras BS Statistics for Data Science II (Stats 2) Quiz 1 paper sat on 27 Oct 2024, in the September 2024 term (2024 Oct27:). It carries 3 marks.

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