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# GDB - STA301 - Statistics and Probability

Start from Monday, July 17, 2017

end from Thursday, July 20, 2017

1. We can use Poisson distribution as a limiting case for the binomial distribution. In which situation we can do that?
2. 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

solve

Q1.
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;

Q2.

N=20
Q=1-p =1-0.5=0.5
Mean =np=20*0.5=10
Variance =npq=(20*0.5*0.5)=5

Assalam O Alaikum  first question ka solution plz

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.

Q#1:The Poisson distribution is a limiting case of the binomial distribution which arises when the number of trials n increases indefinitely whilst the product μ = np, which is the expected value of the number of successes from the trials, remains constant.