Calculator Notes for TI-89, TI-92 Plus, and Voyage 200
Calculator Notes for TI-89, TI-92 Plus, and Voyage 200
Calculator Notes for TI-89, TI-92 Plus, and Voyage 200
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Note 13C • Probabilities of Normal Distributions (continued) <strong>TI</strong>-<strong>89</strong>/<strong>TI</strong>-<strong>92</strong> <strong>Plus</strong>/<strong>Voyage</strong> <strong>200</strong><br />
Be<strong>for</strong>e using the comm<strong>and</strong>, first enter the equation of the normal curve into<br />
the Y Editor screen. (See Note 13B.) Then on the Home screen, enter the<br />
integration comm<strong>and</strong> in the <strong>for</strong>m ∫(y1(x),x,lower, upper).<br />
Graphing Ranges<br />
The calculator does not have a comm<strong>and</strong> that automatically draws a normal<br />
curve <strong>and</strong> shades the area under it. The best you can do is calculate the area,<br />
as explained above, <strong>and</strong> then graph a system of inequalities that shows the<br />
area as a feasible region. (Review Note 6G <strong>for</strong> help with graphing<br />
inequalities.)<br />
Your system should include these four equations:<br />
y1 the equation of your normal curve. Shade above y1.<br />
y2 0. Shade below y2.<br />
y3 1000(lowerx). Shade below y3.<br />
y4 1000(upperx). Shade above y4.<br />
[2.7, 3.5, 0.1, 0.5, 3, 0]<br />
Probabilities of Normal Distributions with the Stats/List Editor<br />
If your calculator has the Stats/List Editor application, you can use built-in<br />
functions that calculate <strong>and</strong> graph the area under a normal curve. To run the<br />
Stats/List Editor, press APPS 1:FlashApps <strong>and</strong> select Stats/List Editor.<br />
The normal cumulative distribution function, Normal Cdf, calculates the<br />
area between two endpoints. You find the Normal Cdf comm<strong>and</strong> by pressing<br />
F5 (Distr) 4:Normal Cdf. Enter the Lower Value, the Upper Value, the mean, <strong>and</strong> the<br />
st<strong>and</strong>ard deviation, <strong>and</strong> then press ENTER .<br />
Discovering Advanced Algebra <strong>Calculator</strong> <strong>Notes</strong> <strong>for</strong> the Texas Instruments <strong>TI</strong>-<strong>89</strong>, <strong>TI</strong>-<strong>92</strong> <strong>Plus</strong>, <strong>and</strong> <strong>Voyage</strong> <strong>200</strong> CHAPTER 13 77<br />
©<strong>200</strong>4 Key Curriculum Press<br />
(continued)