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.

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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

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3
Q

expected value

A

Expected value

E(x) = q/p

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