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Statistics for Data Science II · End Term · 13 Apr 2025 · January 2025 term · Set QDD3

Question 9: A factory produces electronic processors and their perfor…

Question 9

+3 marksNumerical answer

A factory produces electronic processors and their performance score depends on two factors: (i) Number of Cores (X), (ii) Cache Size (Y ). For a randomly chosen processor, the probability mass functions (PMFs) of X and Y are given as follows:

The overall performance score (Z) of a processor is defined as Z= 4X + 3Y .
Based on the above data, answer the given subquestions.

Compute the value of E [ Z ]. Enter the answer correct to one decimal place.

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Correct answer: 16.2 (accepted within ±0.2)

Question 9 of 15 in the IIT Madras BS Statistics for Data Science II (Stats 2) End Term paper sat on 13 Apr 2025, in the January 2025 term (IIT M FOUNDATION FN EXAM QDF1 13 Apr 2025). It carries 3 marks.

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