Can anyone help me to solve this problem ???

Waiting . . . . (Thinking)

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- Apr 14th 2010, 05:54 PMneverlosehopePoisson Distribution
Can anyone help me to solve this problem ???

Waiting . . . . (Thinking) - Apr 14th 2010, 06:47 PMmr fantastic
In future, please type the question out.

Let X be the random variable 'number of bacterial colonies in a sample'.

X ~ Poisson($\displaystyle \lambda = 2$).

Calculate $\displaystyle p = \Pr(X \geq 1) = 1 - \Pr(X = 0)$.

Let Y be the random variable 'number of samples that have at least 1 bacterial colony in them'.

Y ~ Binomial(n = 4, p = see above).

Calculate $\displaystyle \Pr(Y \geq 1) = 1 - \Pr(Y = 0)$. - Apr 14th 2010, 06:57 PMneverlosehope
Thanks Mr Fantastic (Happy)

- Apr 14th 2010, 07:03 PMneverlosehope
X ~ Poisson(http://www.mathhelpforum.com/math-he...060384dc-1.gif).

Calculate http://www.mathhelpforum.com/math-he...62e81153-1.gif.

Thanks - Apr 14th 2010, 07:07 PMmr fantastic
- Apr 14th 2010, 07:20 PMneverlosehope
It's just a mistake , no it can't be less than zero

1-Pr (x<1) = 1-Pr(x=0)

U r Right sorry .

But are u sure we are gonna solve it by possion rule & binomial.

Can we just solve it by possion rule only ???? - Apr 15th 2010, 02:30 AMmr fantastic