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pyro_peewee
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Homework Statement
Probability of a car starting up is 0.9
Probability of a car NOT starting up is 0.1
Cars are tested until 2 functional cars are found.
Find Bernoulli probability function associated and PROVE that it is a pdf (probability density function).
Homework Equations
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The Attempt at a Solution
To prove that it is a pdf, I think that I need to sum up all of the probabilities associated with the x values and show that it equals 1.
[tex]\Sigma[/tex]x=2 to infinity p^2*(1-p)^(x-2) How do I show that this equals 1? Is it even correct?
Keep in mind that the minimum value for the # of cars tested is 2 because we're looking for 2 functional cars, and once we've got 2, we stop the trials.