Binomial & Poisson Distribution

0,0

$I =12$

$p =0.4$

$\lambda =3$

$m_1 =4.8$

$m_2 =25.92$

$\sigma^2 =2.88$

$\sigma =1.7$

0,0

–o+←↓↑→

$\mu$

Pr$(z = \mu)$

0,0

$I =12$

$p =0.4$

$\lambda =3$

$m_1 =3$

$m_2 =12$

$\sigma^2 =3$

$\sigma =1.73$

$\mu$	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19
Pr($z$ = $\mu$)	0.0022	0.0174	0.0639	0.1419	0.2128	0.2270	0.1766	0.1009	0.0420	0.0125	0.0025	0.0003	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000
Pr($z$ = $\mu$)	0.0498	0.1494	0.2240	0.2240	0.1680	0.1008	0.0504	0.0216	0.0081	0.0027	0.0008	0.0002	0.0001	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000
Pr($z$ ≤ $\mu$)	0.0022	0.0196	0.0834	0.2253	0.4382	0.6652	0.8418	0.9427	0.9847	0.9972	0.9997	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000
Pr($z$ ≤ $\mu$)	0.0498	0.1991	0.4232	0.6472	0.8153	0.9161	0.9665	0.9881	0.9962	0.9989	0.9997	0.9999	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000

For the following exercises,
the term Blue refers to distribution function 1 (marked blue in the applet) and
the term Red refers to distribution function 2 (marked red in applet)

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