MCS 341 Problem Assignments

7. Sampling distributions and the Central Limit Theorem

Sections to read	Topics	Suggested problems	Assigned problems	Due Date
7.1 7.2	Introduction Sampling distributions related to the normal distribution		7.2, 7.7, 7.10	W 12/15
7.3	The Central Limit Theorem	7.23, 7.25
7.4 7.5	A proof of the Central Limit Theorem The normal approximation to the binomial distribution	7.44, 7.45, 7.47
7.4	Extra credit	Assume independent Y_j's ~ uniform(0,1). Calculate the pdf's of S_n = Y₁ + ... + Y_n, S_n/n, and the standardized S_n for n = 1, 2, 3, 4. Comment on the results.		F 12/17
All	Final exam		1:00-3:00 p.m.	M 12/20

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