math Question

2007-10-10 7:35 pm
show for the binomial distribution that the probability of x successes in n trials, when the probability of one success is p is the same as the probability of (n-x) successes in n trials when the probability of oned success is (1-p).

回答 (1)

2007-10-10 8:05 pm
✔ 最佳答案
the probability of x successes in n trials, when the probability of one success is p
= (nCx) (p^x) [(1-p)^(n-x)]

the probability of (n-x) successes in n trials when the probability of oned success is (1-p)
= [nC(n-x)] [(1-p)^(n-x)] {p^[n-(n-x)]}
= (nCx) [(1-p)^(n-x)] p^[x)
=(nCx) (p^x) [(1-p)^(n-x)]


Right?


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