stat400sln2 - STAT400 HW2 Solution The following solutions...

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Unformatted text preview: STAT400 HW2 Solution The following solutions are from the solution manual by H099 and Tanis, Probability and Statistical Inference. Some of them may be edited. 2.1-2 (8.) S = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, TTHH, HTHT, THTH, THHT, HTTT, THTT, TTHT, TTTH, TTTT}; (b) (i) 5/16, (ii) 0, (iii)11/16, (iv) 4/16, (v) 4/16, (vi) 9/16, (vii) 4/16. 2.1—6 (3.) P(A u B) = 0.4 + 0.5 — 0.3 = 0.6; (b) A = (AnB’)U(AnB) P(A) P(A n B') + P(A n B) 0.4 = P(A n B’) + 0.3 P(An B) = 0.1; (c) P(A’ U B’) = P[(A n B)’] =1— P(A n B): 1 — 0.3 = 0.7. 2.1—3 P(A u B) = P(A) + P(B) — P(A n B) 0.7 = 0.4 + 0.5 — P(A n B) P(An B) = 0.2; P(A’ u B’) = P[(A n B)’] H 1 — P(A n B) 1 — 0.2 0.3. 9! 2.2-4 9P4 = ~ 2 3024. 5! 2.2-6 (3) 5-4-3 :60; (b) 53 z 125. 2.2-10 3 - 3 - 212 = 36,864. 2.2-18 (a) W (b) (13”) (12° _ 2.2-20 (a) 4( :>= (53) )( 80; 7 1 (b) 4(26) = 256; (c) ( 4—1+3)! _ (4—1)s3! )(3 52 X - 20. ) _ 102,486 ‘ 351,325 i)( = 0.2917; 7, 695 ‘ 1,236,664 EX?) 2 06006 22. ...
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stat400sln2 - STAT400 HW2 Solution The following solutions...

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