Answer Keys


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Answer Keys to Problems

    Go here to find the list of practice problems.

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Answer Keys to Problems 1 to 10

      Problem 1-A

          \displaystyle \frac{7}{16}
      Problem 2-A

          \displaystyle 0.4437
      Problem 3-A

          \displaystyle 0.93456
      Problem 4-A

          \displaystyle 0.85
      Problem 5-A

          \displaystyle 0.1403718733
      Problem 6-A-1

          \displaystyle 0.0931228413
      Problem 6-A-2

          \displaystyle 0.400978973
      Problem 6-B-1

          \displaystyle \frac{108}{400}=0.27
      Problem 7-A-1

          \displaystyle 0.08337
      Problem 7-A-2

          \displaystyle 4
      Problem 7-A-3

          \displaystyle 144
      Problem 7-B-1

          \displaystyle 0.0669916086
      Problem 7-B-2

          \displaystyle 3.2
      Problem 8-A

          \displaystyle 0.5053912139
      Problem 9-A

          \displaystyle \frac{20}{9}
      Problem 10-A-1

          \displaystyle 0.07
      Problem 10-A-2

          \displaystyle 0.6
      Problem 10-A-3

          \displaystyle 4.44
      Problem 10-B-1

          \displaystyle 0.06046875
      Problem 10-B-2

          \displaystyle 0.48

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Answer Keys to Problems 11 to 20

      Problem 11-A

          \displaystyle 0.111476736
      Problem 12-A

          \displaystyle \$17,340
      Problem 13-A

          \displaystyle h(w)=0.1 \ e^{-0.05 \ w} - 0.1 \ e^{-0.1 \ w}
      Problem 14-A

          \displaystyle h(w)=\frac{1}{3} \ e^{-0.1 \ w}-e^{-0.2 \ w}+\frac{2}{3} \ e^{-0.25 \ w} where w>0
      Problem 15-A

          \displaystyle h(w)=\left\{\begin{matrix}0.1-0.1 \ e^{-0.1 \ w}& \ \ \ \ \ \ 0<w \le 10 \\{\text{ }}& \\{\frac{1}{10} \ (e - 1) \ e^{-0.1 \ w}}&\ \ \ \ \ \ 10 < w <\infty   \end{matrix}\right.
      Problem 16-A

          \displaystyle \frac{5}{6}
      Problem 17-A

          \displaystyle Var(X+Y)=\frac{5}{36}
      Problem 18-A

          \displaystyle \frac{26}{225}
      Problem 19-A

          \displaystyle 0.69929
      Problem 20-A

          \displaystyle 0.1449893

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Answer Keys to Problems 21 to 30

      Problem 21-A

          \displaystyle 0.31
      Problem 22-A

          \displaystyle 0.18
      Problem 23-A

          \displaystyle 0.11382415
      Problem 24-A

          \displaystyle 0.13584584776
      Problem 25-1

          \displaystyle \frac{3}{4}
      Problem 25-2

          \displaystyle \frac{20}{3}
      Problem 26-1

          \displaystyle \frac{5}{6}
      Problem 26-2

          \displaystyle \frac{295}{18}=16.39 \text{ min}
      Problem 27-A

          \displaystyle \frac{7}{16}
      Problem 28-A

          \displaystyle 0.550671
      Problem 29-A

          \displaystyle B
      Problem 30-A

          \displaystyle \frac{5}{2}

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Answer Keys to Problems 31 to 40

      Problem 31-A

          \displaystyle \frac{8}{9}
      Problem 32-A

          \displaystyle -\frac{4}{81}
      Problem 33-A

          \displaystyle 0.063048 \ e^{-1}=0.023194
      Problem 34-A

          \displaystyle \frac{3}{16}
      Problem 35-A

          \displaystyle D
      Problem 36-1

          \displaystyle \frac{1591}{3240} \ e^{-1}=0.180647
      Problem 37-A

          1. \displaystyle 0.3995764
          2. \displaystyle 0.462117157
      Problem 38-A

          \displaystyle 0.084015678
      Problem 39-A

          \displaystyle 0.33974
      Problem 40-A

          \displaystyle \frac{517}{8000}=0.064625

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Answer Keys to Problems 41 to 50

      Problem 41-A

          \displaystyle 0.336
      Problem 42-A

          \displaystyle \frac{781}{1024}
      Problem 43-A

          \displaystyle \frac{5}{2}
      Problem 44-A

          \displaystyle \frac{80}{243}
      Problem 45-A

          \displaystyle D
      Problem 46-A

          \displaystyle \frac{53}{3}
      Problem 47-A

          \displaystyle 0.2665
      Problem 48-A

          \displaystyle D
      Problem 49-A

          \displaystyle C
      Problem 50-A

          \displaystyle C

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Answer Keys to Problems 51 to 60

      Problem 51-A

          \displaystyle A
      Problem 52-A

          \displaystyle D
      Problem 53-A

          \displaystyle A
      Problem 54-A

          \displaystyle D
      Problem 55-A

          \displaystyle B
      Problem 56-A

          \displaystyle B
      Problem 57-A

          \displaystyle D
      Problem 58-A

          \displaystyle C
      Problem 59-A

          \displaystyle D
      Problem 60-A

          \displaystyle B

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Answer Keys to Problems 61 to 70

      Problem 61-A

          \displaystyle E
      Problem 62-A

          \displaystyle A
      Problem 63-A

          \displaystyle E
      Problem 64-A

          \displaystyle C
      Problem 65-A

          \displaystyle D
      Problem 66-A

          \displaystyle C
      Problem 67-A

          \displaystyle D
      Problem 68-A

          \displaystyle B
      Problem 69-A

          \displaystyle B
      Problem 70-A

          \displaystyle D

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Answer Keys to Problems 71 to 80

      Problem 71-A

          \displaystyle B
      Problem 72-A

          \displaystyle D
      Problem 73-A

          \displaystyle A
      Problem 74-A

          \displaystyle B
      Problem 75-A

          \displaystyle E
      Problem 76-A

          \displaystyle D
      Problem 77-A

          \displaystyle D
      Problem 78-A

          \displaystyle B
      Problem 79-A

          \displaystyle C
      Problem 80-A

          \displaystyle D

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Answer Keys to Problems 81 to 90

      Problem 81-A

          \displaystyle D
      Problem 82-A

          \displaystyle D
      Problem 83-A

          \displaystyle B
      Problem 84-A

          \displaystyle E
      Problem 85-A

          \displaystyle B
      Problem 86-A

          \displaystyle C
      Problem 87-A

          \displaystyle E
      Problem 88-A

          \displaystyle C
      Problem 89-A

          \displaystyle C
      Problem 90-A

          \displaystyle A

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Answer Keys to Problems 91 to 100

      Problem 91-A

          \displaystyle B
      Problem 92-A

          \displaystyle B
      Problem 93-A

          \displaystyle D
      Problem 94-A

          \displaystyle D
      Problem 95-A

          \displaystyle A
      Problem 96-A

          \displaystyle B
      Problem 97-A

          \displaystyle ?
      Problem 98-A

          \displaystyle ?
      Problem 99-A

          \displaystyle ?
      Problem 100-A

          \displaystyle ?

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\copyright \ 2013 - 2016

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