**2-1**. Let *a, b* denote a part above, below the specification, respectively

*S* = *{aaa, aab, aba, abb, baa, bab, bba, bbb}*

**2-3**. Let *a* denote an acceptable power supply

Let *f*, *m*, *c* denote a supply with a functional, minor, or cosmetic error, respectively.

*S = {a, f, m, c}*

**2-5**. Sequences of *y* or *n* of length 24 with 2^{24} outcomes

**2-7**. *S* is the sample space of 100 possible two digit integers.

**2-9**. *S* = {0,1,2, ...,1*E*09} in ppb

**2-11**. *S* = {1.0,1.1,1.2,...,14.0}

**2-13**. *S* = {0,1,2,...,} in milliseconds

**2-17**. *c* = connect, *b* = busy,

*S* = {*c, bc, bbc, bbbc, bbbbc*,...}

**2-21**. (a) *S* = nonnegative integers from 0 to the largest integer that can be displayed by the scale *S* = {0,1,2,3,...}

(b) *S*

(c) {12,13,14,15}

(d) {0,1,2,...,11}

(e) *S*

(f) {0,1,2,...,7}

(g) ∅

(h) ∅

(i) {8,9,10,...}

**2-23**. Let *d* denoted a distorted bit and let *o* denote a bit that is not distorted.

(b) No, for example

(e) A_{1} ∩ A_{2} ∩ A_{3} ∩ A_{4} = {*dddd*}

(f) (A_{1} ∩ A_{2}) ∪ (A_{3} ∩ A_{4}) = {*dddd, dodd, dddo, oddd, ddod, oodd, ddoo*}

**2-25**. Let *P* denote being positive and let *N* denote being negative. The sample space is {*PPP, PPN, PNP, NPP, PNN, NPN, NNP, NNN*}.

(a) *A* = {*PPP*}

(b) *B* = {*NNN*}

(c) *A* ∩ *B* = ∅

(d) *A* ∪ *B* = {*PPP, NNN*}

**2-27**. (a) *A*′ ∩ *B* = 10, *B*′ = 10, *A* ∪ *B* = 92

**2-29**. (a) A′ = {*x*|*x* ≥ 72.5} ...

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