Binomial Distribution: What Is It?

[aaaa202]

Is the binomial distribution, what you call a product distribution? How can I see that, if that is true?

 

[chiro]

Hey aaaa202 and welcome to the forums.

The binomial distribution represents n independent events happening with each true event having a p probability of occurring.

In other words Bin(n,p) gives the probability distribution for having x events become true for x = 0 to x = n.

Because of the independence of each event, you can use the product identity P(A and B) = P(A)P(B) to generate the mathematical formula for getting a specific probability.

 

[aaaa202]

so it's a product distribution right? I've seen several physical examples of product distributed properties, and they all follow a normal distribution. Is this a general thing?