For a binomial distribution, the mean is 4.0 and n= 8. What is π for this distribution?

Solution:

In statistics and probability theory, the binomial distribution is the probability distribution that is discrete and applicable to events having only two possible results in an experiment, either success or failure. (the prefix “bi” means two, or twice).

A few circumstances where we have binomial experiments are tossing a coin: head or tail, the result of a test: pass or fail, selected in an interview: yes/ no, or nature of the product: defective/non-defective. Such a distribution of a binomial random variable is called a binomial probability distribution.

Given that, the mean of the binomial distribution is 4.

And number of trials:

n = 8.

Value of π is nothing but probability of success.

We have mean of binomial distribution with number of trials n and probability of success as π is equal to nπ.

Thus nπ = 4 (Given)

⇒ 8(π) = 4

Therefore,

π = 1/2

For a binomial distribution, the mean is 4.0 and n= 8. What is π for this distribution?

Summary:

For a binomial distribution, with the mean 4.0 and n= 8,The value for π is 1/2.