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

Question 8: A factory produces electronic processors and their perfor…

Question 8

+2 marksOne correct option

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.

Identify all the possible values of overall performance score (Z).

  1. A

    {10, 13, 14, 16, 17, 20}

  2. B

    {11, 13, 19, 14, 18, 25}

  3. C

    {10, 11, 14, 16, 19, 20}

  4. D

    {11, 14, 15, 18, 19, 22}

Show answer

Correct answer

  • D

    {11, 14, 15, 18, 19, 22}

Question 8 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 2 marks.

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