lesson 3 - geometric distributions Flashcards
1
Q
new condition for geometric distribution
A
New condition for geometric distribution - determining how many trials will occur before our first success occurs.
2
Q
how to do geometric probability
A
Example: Determine the probability of producing 3 cars before finding a defect if the probability of a defect is 1%.
The formula for geometric distribution probability is:
P(x) = (q^x) (p) where x is the number of failures before the first success, p is the probability of success and q is the probability of failure
P(x) = (q^x) (p)
= 0.99^3 (0.01)
=0.0097
The probability is 0.0097 or 0.97% chance of finding a defect
3
Q
expected value
A
Expected value
E(x) = q/p