Question

The equation for the Gaussian curve in Figure 4 - 1is

$\mathbf{y}\mathbf{=}\frac{\mathbf{(}\mathbf{total}\mathbf{}\mathbf{bulbs}\mathbf{)}\mathbf{(}\mathbf{hours}\mathbf{}\mathbf{per}\mathbf{}\mathbf{bar}\mathbf{)}}{\mathbf{s}\sqrt{\mathbf{2}\mathbf{\pi }}}{\mathbf{e}}^{\mathbf{-}{\mathbf{(}\mathbf{x}\mathbf{-}\overrightarrow{\mathbf{x}}\mathbf{)}}^{\mathbf{2}}\mathbf{/}\mathbf{2}{\mathbf{s}}^{\mathbf{2}}}$

where $\overline{\mathbf{x}}$ is the mean value $(845.2h)$ is the standard deviation $(94.2h)$ , total bulbs = 4768, and hours per bar ( = 20) is the width of each bar in Figure 4 - 1. Set up a spreadsheet like the one with this problem to calculate the coordinates of the Gaussian curve in Figure 4 - 1 from 500to 1200hin 25 - hintervals. Note the heavy use of parentheses in the formula at the bottom of the spreadsheet to force the computer to do the arithmetic as intended. Use Excel to graph your results.

Short answer

The graph:

Step-by-step solution

Definition of graph.

The link between lines and points is described by a graph, which is a mathematical description of a network. A graph is made up of points with lines connecting them. It makes no difference how long the lines are or where the points are placed.

Find the fraction of people with tumors would have a false negative indication of cancer because K≥0.92 .

The Gaussian curve equation in Figure 4 - 1 is:

$y=\frac{\left(total/bulbs\right)\left(hoursperbar\right)}{s\sqrt{\left(2\mathrm{\pi }\right)}}$

where $\overline{x}$is the mean value ( 845.2h ) is the standard deviation ( 94.2h ) , total bulbs is equal 4768 and hours per bar is equal 20 .

The required data for graph drawing are shown in table below.