Math Textbooks (485)

The report "Wireless Substitution: Early Release of Estimates from the National Health Interview Survey" (Center for Disease Control, 2009 ) gave the following estimates of the percentage of homes in the United States that had only wireless phone service at 6-month intervals from June 2005 to December 2008 . \begin{tabular}{lr} & Percent with Only \\ Date & Wireless Phone Service \\ \hline June 2005 & 7.3 \\ December 2005 & 8.4 \\ June 2006 & 10.5 \\ December 2006 & 12.8 \\ June 2007 & 13.6 \\ December 2007 & 15.8 \\ June 2008 & 17.5 \\ December 2008 & 20.2 \\ \hline \end{tabular} Construct a time-series plot for these data and describe the trend in the percent of homes with only wireless phone service over time. Has the percent increased at a fairly steady rate?

Create an attack tree for stealing a car. For this and the other attack tree exercises, you can present your attack tree as a figure (like Figure 1.1), or you can present your attack tree as a list numbered in outline form (e.g., 1, 1.1, 1.2, 1.2.1, 1.2.2, 1.3, ...).

If the contribution margin per unit is \(\$ 15\) and it takes \(3.0\) machine hours to produce the unit, the contribution margin per unit of limited resource is: a. \(\$ 25\). c. \(\$ 45\). b. \(\$ 5\). d. No correct answer is given.

Example \(11.5 .1\) dealt with a hierarchical Bayes model for a conjugate family of normal distributions. Express that model as $$ \begin{aligned} &\bar{X} \mid \Theta \quad \sim N\left(\theta, \frac{\sigma^{2}}{n}\right), \sigma^{2} \text { is known } \\ &\Theta \mid \tau^{2} \quad \sim N\left(0, \tau^{2}\right) \end{aligned} $$ Obtain the empirical Bayes estimator of \(\theta\).

To determine list of the ordered pairs in the relation $R$from $A=\{0,1,2,3,4\}$to $B=\{0,1,2,3\}$, where $(a,b)\in R$if and only if $lcm(a,b)=2$.