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Question Title Binomial DistributioN
We can use Poisson distribution as a limiting case for the binomial distribution. In which situation we can do that?
A coin is tossed 20 times. Using the binomial distribution, find the mean, variance, of the number of heads that will be obtained.

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Replies to This Discussion

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Solution 1:
The Poisson distribution can be used as a limiting case for the binomial distribution in the following situation:
It is a limiting approximation to the binomial distribution, when p, the probability of success is very small but n, the number of trials is so large that the product np = m is of a moderate size.


P=Head =1/2=0.5
Q=1-p =1-0.5=0.5
Mean =np=20*0.5=10
Variance =npq=(20*0.5*0.5)=5

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