Homework#1_Solutions

Homework#1_Solutions - Homework # 1 Solutions Topic Sample...

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Unformatted text preview: Homework # 1 Solutions Topic Sample space, events, set operations 215. Assignments 215, 17, 19, 20, 21, 29, 30, 33 PRESS 1 2 CAVITY 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 217. Let c and b denote connect and busy, respectively. ThenS = {c, bc, bbc, bbbc, bbbbc, ...} 219. a) b) c) d) e) 220. a) b) c) d) e) 221. 229. a) Let S = the nonnegative integers from 0 to the largest integer that can be displayed by the scale. Let Xdenote the weight. A is the event that X> 11 S = {0, 1, 2, 3, ...} b) S c) 11 <X 15 or {12, 13, 14, 15} d) X 11 or {0, 1, 2, ..., 11} e) S f) AC contains the values of X such that: X 8 Thus (AC) contains the values of X such that: X< 8 or {0, 1, 2, ..., 7} g) h) B contains the values of X such that X> 15. Therefore, BCis the empty set. They have no outcomes in common or . i) BC is the event 8 X <12. Therefore, A (BC) is the event X 8 or {8, 9, 10, ...} B is the event that X 15 C is the event that 8 X<12 a) A = {x | x 72.5} b) B = {x | x 52.5} c) AB = {x | 52.5 <x< 72.5} d) AB = {x | x> 0} 230. a) {ab, ac, ad, bc, bd, cd, ba, ca, da, cb, db, dc} b) {ab, ac, ad, ae, af, ag, bc, bd, be, bf, bg, cd, ce, cf, cg, de, df, dg, ef, eg, fg, ba, ca, da, ea, fa, ga, cb, db, eb, fb, gb, dc, ec, fc, gc, ed, fd, gd, fe, ge, gf}42 c) Let dand g denote defective and good, respectively. ThenS = {gg, gd, dg, dd} d) S = {gd, dg, gg} 233. a) b) c) d) ...
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