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

Question 16: Using the Central Limit Theorem, find an approximate pro…

Question 16

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Using the Central Limit Theorem, find an approximate probability that the total number of heads, S, lies between 48 and 52 heads. Enter the answer correct to two decimal places.

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Correct answer: 0.31 (accepted within ±0.03)

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Question 16 of 16 in the IIT Madras BS Statistics for Data Science II (Stats 2) Quiz 2 paper sat on 16 Mar 2025, in the January 2025 term (IIT M DIPLOMA AN EXAM QDD2 16 Mar 2025). It carries 3 marks.

More questions from this paper

  1. Q1Figure question
  2. Q2Figure question
  3. Q3Figure question
  4. Q4Figure question
  5. Q5How does the expected value of the sample mean change?
  6. Q6How does the variance of the sample mean change?
  7. Q7Find the value of E[X]. Enter the answer correct to two decimal places
  8. Q8What is the value of Var(X)? Enter the answer correct to two decimal places.
  9. Q9Find the value of k.
  10. Q10Based on the above data, answer the given subquestions.
  11. Q11Which of the following option(s) is(are) correct ?
  12. Q12Using Chebyshev’s inequality, find a lower bound for P(|Y −0.5| \< 0.6). Enter the answer correct to three decimal plac…
  13. Q13Based on the above data, answer the given subquestions.
  14. Q14Based on the above data, answer the given subquestions.
  15. Q15Which of the following options is an acceptable approximate model for S as per the Central Limit Theorem?