Applied Statistics and Probability for Engineers, 5th Edition

Appendix B

Answers to Selected Exercises

CHAPTER 2

Section 2-1

2-1.     Let a, b denote a part above, below the specification, respectivelyS = {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 2²⁴ outcomes

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

2-9.     S = {0, 1, 2, . . . , 1E09} 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 A₁ ∩ A₂ = {dddd, dddo, ddod, ddoo}

(c)A₁ =

(d)A′₁ =

(e)A₁ = ∩ A₂ ∩ A₃ ∩ A₄ = {dddd}

(f) (A₁ ∩ A₂) ∪ (A₃ ∩ A₄) = {dddd, dodd, dddo, oddd, ddod, oodd, ddoo}

2-25.   Let P denote being positive ...