Binomial Distribution

Meaning

What Is Binomial Distribution?

A binomial distribution models the number of successes in n independent Bernoulli trials with the same success probability.

Examples

1Number of heads in 10 fair tosses is Binomial(10,0.5).

Understand

Formula / rule

P(X=k)=C(n,k)pᵏ(1−p)ⁿ⁻ᵏ

Know the definition and standard notation for Binomial Distribution.
Be able to recognise or compute binomial distribution in a small example.
Connect the concept to nearby topics in the same subject before using it in larger CSE problems.

CSE Connection

Used in randomized algorithms, artificial intelligence, reliability, networking, security and data science.

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FAQ

What is Binomial Distribution?

A binomial distribution models the number of successes in n independent Bernoulli trials with the same success probability.

Why is Binomial Distribution useful in computer science?

Used in randomized algorithms, artificial intelligence, reliability, networking, security and data science.