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Assignment 1 - Statistics and Probability I | STAT 400, Assignments of Probability and Statistics

University of Illinois - Urbana-ChampaignProbability and Statistics
Prof. Yuguo Chen

Material Type: Assignment; Professor: Chen; Class: Statistics and Probability I; Subject: Statistics; University: University of Illinois - Urbana-Champaign; Term: Fall 2009;

Typology: Assignments

Pre 2010

Uploaded on 10/27/2009

gavinr
gavinr 🇺🇸

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1.1-2 (a) S— {bbb. gbb, bgb, bbg, bgg. gbg. geb, ggg}: (b) S = {female, male}: (c) $= {000, 001, 002, 003,... 999}. 11-4 (a) Clutchsiz: 4 5 6 7 8 9 10 11 12 13 4 Frequency: 3 5 7 27 26 37 8 2 0 1 1 (b) hy. x) 0.30 0.25 0.20 0.15 0.10 0.05 LO eee 2 4 6 8 10 12 14 x Figure 1.1-4: Clutch sizes for the common gallinule (c) 9. 1.2-4 (a) S— {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, TTHH, HTHT, THTH, THHT, HITT, THTT, TTHT, TITH. TTTT}; (b) (i) 5/16, (ii) 0, (iii) 11/16, (iv) 4/16. (v) 4/16, (vi) 9/16, (vii) 4/16. 1.2-8 (a) P(AUB) =044+05-03=06: (b) A = (ANB’)U(AnNB) P(A) = P(ANB')4+P(ANB) 0.4 — P(ANB’)+03 P(ACB) = 0.1; (ce) P(A'L B’) = PAN B)'| =1- P(ANB) =1-0.3=0.7. 1.2-16 (a) $= {(4,2), (1,3), (1,4), (1,5), (2,3), (2.4), (2,5), (3, 4), (3,5), (4.5) }: (b) (i) 1/10; (ii) 5/10.