# Appendix B

# Answers to Selected Exercises

### CHAPTER 2

#### Section 2-1

**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 supplyLet *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.

(a) *S* =

(b) No, for example *A*_{1} ∩ *A*_{2} = {*dddd*, *dddo*, *ddod*, *ddoo*}

(c)*A*_{1} =

(d)*A*′_{1} =

(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 ...

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