194
Equation E6 gives
)
Pa x b≤≤ for an exponential distribution.
Equations E7 to E0 concern the Normal distribution, with E7 giving
()
PX x≥ ,
E8 giving
()
PX x≤ , E9 giving
()
Pa x b
≤ and E0 aiding investigation of
questions such as “what distance either side of the mean will give a
probability of 0.45?”.
Notes:
(i) In equations E1 and E2, N!/((N-R)!R!) is used rather than the more
compact formula COMB(N,R). Doing it this way allows the user to
solve for N, whereas the second option does not. Note also that the
resulting probability is given as V instead of P because P is already in
use in the formula as the probability of an individual success.
(ii) You might choose to split this into two aplets - one for the Discrete
probability functions and one for the Continuous ones.
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
right.
Now change to the Matrix Catalog view and enter the matrices shown
below into M1 and M2.
10 1211
12
01 1131
MM
==
−
Change to the HOME view and perform the
calculation shown right and finally press PLOT.
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