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Statistics for Data Science I · Quiz 2 · 16 Mar 2025 · January 2025 term

Question 15: If a randomly selected student is known to have passed t…

Question 15

+2 marksNumerical answer

At a school, 30% of students are members of the Science Club, while 70% are members of the Art Club. Data indicates that the probability of passing a specific test, given that a student is in the Science Club, is 0.8, whereas the probability of passing the same test, given membership in the Art Club, is 0.4.
Based on the above data, answer the given subquestions.

If a randomly selected student is known to have passed the test, what is the probability that this student is a member of the Science Club?
Enter the answer correct to two decimal places.

Show answer

Correct answer: 0.46 (accepted within ±0.03)

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Question 15 of 15 in the IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 2 paper sat on 16 Mar 2025, in the January 2025 term (IIT M DIPLOMA AN EXAM QDD2 16 Mar 2025). It carries 2 marks.

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