Statistics for Data Science II, End Term

January 2026 term, 10 May 2026, Set 2

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Question 1

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Select one option

• A.

  Useful Data has been mentioned above.

• B.

  This data attachment is just for a reference & not for an evaluation.

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Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper Let . The prior distribution of has the following PMF: Consider the samples S: { }. Find the posterior probability using Bayes' theorem. Enter the answer correct to two decimal places. Let . The prior distribution of has the following PMF: Let be a sample from a normal distribution having a variance of 25. We wish to test the hypothesis against . Consider a test that rejects for , where is the sample mean. Find the value of at a significance level . Enter the answer correct to two decimal places.