Question 867167: Need your help with this one, cause i am completely stuck.
Let X binominal variable with parameters N, p.
It is reminded that X expresses the number of successes that occur from the execution of N independent Bernoulli experiments, each of them with probability of success p.
a) Given that X=1, find the probability that the unique success came from the first experiment.
b) Given that X=2, find the probability that the 2 successes happened at the first two experiments.
c) Taking into consideration the answers on the previous two questions, suppose that X=k, where 1<=k<=N and say what you notice about the way the k successes are distributed.
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website! Re: TY
Have no capability of going that far back in postings. So many...more recent
for
C) It seems originally, I did use P(k) = p^k, only replaced the k with x as
x is a variable normally used in Probability. P(k) = p^k more politically correct, given the question.
a)n = 1,  = p^1, 1 trail, one success
b)n = 2,  = p^2, 2 trials. two successes
c) n = k,  = p^k just following the pattern n = x
If there was continual success in 100 trials, For ex: P(of that happening) = p^100
My take was the probability of ALL successes encompassing any number of trials.
Re: *TIP* that X can be written as X=I1+I2+....+In,
where Ii are the random variables Bernoulli with probability of success p
Apply as You wish
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