Geometric Distribution Parameter Change
In a statistical experiment, the probability of finding an honest person is . The number of people encountered until an honest person is found can be modeled with a geometric distribution. If the probability of finding an honest person increases to , how is the probability that the first honest person is the third one encountered affected?
TABLE: Geometric Distribution Parameters
| Parameter | Original Value | Modified Value |
|---|---|---|
| p (honesty) | 0.12 | 0.15 |
| Trial | 3 | 3 |
A
It decreases to less than .
B
It remains the same as before.
C
It becomes exactly equal to .
D
It increases to roughly .
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