Mean of binomial distribution
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Binomial distribution solved examples pdf
How to calculate binomial distribution.
The Binomial Distribution
If a discrete random variable X has the following probability density function (p.d.f.), it is said to have a binomial distribution:
P(X = x) = nCx q(n-x)px, where q = 1 - p
p can be considered as the probability of a success, and q the probability of a failure.
Note: nCr (“n choose r”) is more commonly written
, but I shall use the former because it is easier to write on a computer.
It means the number of ways of choosing r objects from a collection of n objects (see permutations and combinations).
If a random variable X has a binomial distribution, we write X ~ B(n, p) (~ means ‘has distribution…’).
n and p are known as the parameters of the distribution (n can be any integer greater than 0 and p can be any number between 0 and 1).
All random variables with a binomial distribution have the above p.d.f., but may have different parameters (different values for n and p).
This video shows how Binomial Distribution works
Example
A coin is thrown 10 times.
Find the probability density function for X, where X is the ra
- how to find p and q in binomial distribution
- how to find n in binomial distribution