Calculate the binomial distribution for

n = 14 e p = 0,60, find P(X < 9)

P(X < 9) = 1 - P(X > 9) ????

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- Jun 20th 2010, 09:16 AMApprentice123Binomial Distribution
Calculate the binomial distribution for

n = 14 e p = 0,60, find P(X < 9)

P(X < 9) = 1 - P(X > 9) ???? - Jun 20th 2010, 09:31 AMUnknown008
No, P(X < 9) means all the values of X that X can take that is less than nine, excluding 9. This means you have X = 0, 1, 2, 3, 4, 5, 6, 7, 8.

But for P(X > 9), you have X = 10, 11, 12, 13, 14.

But 1 - P(X > 9) incluse the values of X = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

which is not equal to P(X < 9) - Jun 20th 2010, 11:49 AMchisigma
Is...

$\displaystyle \displaystyle P(k<9) = \sum_{k=0}^{8} \binom {14}{k} .6^{k} \ .4^{14-k}$ (1)

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$ - Jun 20th 2010, 01:10 PMApprentice123
If I have 11 elements, is easy calculate

P(X<9) = 1 - P(X>=9)

I can ? - Jun 20th 2010, 01:21 PMSpringFan25
yes

- Jun 20th 2010, 01:24 PMundefined
- Jun 20th 2010, 01:45 PMApprentice123
Thanks