What are the 6 criteria for the Binomial Probability and

ka1leE 2021-10-02 Answered
What are the 6 criteria for the Binomial Probability and which four pertain only to the Binomial?

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Expert Answer

Clelioo
Answered 2021-10-03 Author has 6935 answers
Step 1
Solution :
6 Criteria for the Binomial Probability :
1. There are fixed number of trials (n), n should be positive integer.
2. Each trial is Bernoulli's trial. i.e. trials have only two outcomes (success and failure).
3. All trials are independent of each other.
4. Probability of success (p) at each trial remains constant.
5. For binomial probability ,
\(\displaystyle{E}{\left({x}\right)}={n}{p}\)
\(\displaystyle{V}{\left({x}\right)}={n}{p}{\left({1}-{p}\right)}\)
6. For binomial probability distribution ,
\(\displaystyle{V}{\left({x}\right)}\leq{E}{\left({x}\right)}\)
Step 2
Out of these criterion following four pertain to the Binomial:
1. There are fixed number of trials (n), n should be positive integer.
2. Each trial is Bernoulli's trial. i.e. trials have only two outcomes (success and failure).
3. All trials are independent of each other.
4. Probability of success (p) at each trial remains constant.
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