A) For a probability mass function of a binomial function as the value of p increases, the values increase and slide from left to right. In other words for any given trial with a higher value of P, then there is a greater chance of success with more trials.
For a cumulative distribution function, as the value of p increase the inflection point of the curve slides to the right. This indicates that it takes more trials to reach a point where it is highly likely for failure.
For a geometric distribution, as p decreases the function becomes more similar to a straight line. When p increase the pmf appears to have an asymptote
For a cumulative distribution, as p increase the curve slides to the left, and as p decreases it slides further to the right.
Binomial
N p k
2 .01 .980, .20, .000
3 .05 .857, .135, .007, .000
4 .1 .656, .292, .049, .004, .000
5 .2 .328, .410, .205, .051, .006, .000
Geometric distribution
P = .5
0 0.5
1 0.25
2 0.125
3 0.0625
4 0.03125
5 0.015625
6 0.0078125
7 0.00390625
8 0.001953125
P = .7
0 0.7
1 0.21
2 0.063
3 0.0189
4 0.00567
5 0.001701
6 5.103E-4
7 1.5309E-4
8 4.5927E-5
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