7.5. Practice question answers
Chapter 7 practice question answers
7.1. Binomial Probability
1. ≈ 0.0322
2. a. 0.0064
b. 0.2048
c. 0.9421
3. a. ≈ 0.1047
b. ≈ 0.0604
c. ≈ 0.0269
d. ≈ 0.2026
4. a. ≈ 0.3650
b. ≈ 0.2305
5. ≈ 0.6778
7.2. Bayes’ Formula
1. a. 31/48
b. 8/17
c. 5/8
2. a. 0.125
b. ≈ 0.7241
3. a. 0.045
b. ≈ 0.2667
c. 0.03
4. a. 0.0572
b. 0.07
c. ≈ 0.0446
7.3. Expected Value and Tree Diagrams
1. 1.7
2. ≈ -0.83 cents
3. -0.96 cents
4. ≈ -0.0519 cents
5. 0.94
6. ≈ 0.5177
7. 0.776
8. 0.97
7.4. Markov Chains
1.
![\begin{equation*} \mathbf{First\; Purchase\quad\quad} \begin{blockarray}{*{3}{c} l} \begin{block}{*{3}{>{$\footnotesize}c<{$}} l} & \BAmulticolumn{3}{c}{\textbf{Next Purchase}} & \\ & \quad Ford\quad\quad & \quad GM\quad\quad \\ \end{block} \begin{block}{>{$\footnotesize}l<{$}[*{3}{c}]} Ford & 0.60 & 0.40 \\ GM & 0.20 & 0.80 \\ \end{block} \end{blockarray} \end{equation*}](https://pressbooks.library.torontomu.ca/ohsmath/wp-content/ql-cache/quicklatex.com-2d43d1cb104628863f9a8985350e916b_l3.png "Rendered by QuickLaTeX.com")
2. a. 0.32
b. Shoot (S) = 
, Pass (P) = 
3. a. 31%
b. 25%
4. a.
![\begin{equation*} \mathbf{Before\quad\quad} \begin{blockarray}{*{3}{c} l} \begin{block}{*{3}{>{$\footnotesize}c<{$}} l} & \BAmulticolumn{3}{c}{\textbf{After}} & \\ & \quad Y\quad\quad & \quad N\quad\quad \\ \end{block} \begin{block}{>{$\footnotesize}l<{$}[*{3}{c}]} Reported accident (Y) & 0.25 & 0.75 \\ Didn't report accident (N) & 0.05 & 0.95 \\ \end{block} \end{blockarray} \end{equation*}](https://pressbooks.library.torontomu.ca/ohsmath/wp-content/ql-cache/quicklatex.com-2f8af30dcdcef1b2e1331b7ca512b64d_l3.png "Rendered by QuickLaTeX.com")
b. 680
c. 561
d. 6.25%
