HP 39gs_40gs_Mastering The Graphing Calculator_English_E_F2224-90010

Equation E6
(
≤≤
)
for an exponential distribution. To calculate Px a
)
use P
(
0 ≤≤
)
. To
calculate
Px a
)
just find Px a
)
and then use the HOME view to calculate the complement.
This equation gives
Pa x b
(
≤
xa
(
≥
(
≤
Equations
E7 and E8
Finally, equations
E7 to E0 concern the Normal distribution, with E7 giving PX x
(
≤
)
,
(
≥
)
, E8 giving PX x
(
≤≤
)
and E0 allowing calculation of questions such as “what distance either side of the E9 giving Pa x b
mean will give a probability of 0.45?”.
Finally, you may choose to split this aplet into two, placing equations 1 to 4 into an aplet called “
Discrete
PDFs
” and the others into another called “Cont. PDFs”. I encourage my students to do this because it
reinforces the correct technique of first of identifying whether the problem is discrete or continuous.
The Transformer aplet
This aplet is based on the Parametric aplet and allows students to
investigate geometric transformations using 2x2 matrices.
In the
APLET view, the Parametric aplet and it under the
new name of “Transformer”. Enter the equations shown right.
Change to the
PLOT SETUP view
and enter the settings shown.
Now change to the
Matrix Catalog view and enter the matrices shown
below into
M1 and M2.
⎡
10
⎤ ⎡
12 11
⎤
M
2
=
⎢
⎢
11 31
⎥
⎥
M
1
=
⎢
⎢
0
−
1
⎥
⎥
⎣ ⎦ ⎣ ⎦
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