Binomial Distribution

The Binomial Distribution is a Probability Mass Function that models the chance of an event occurring a number of times in a set number of opportunities such as:

Example

• Six heads when you toss a coin 10 times
• 2 car accidents over 10 years
• 5 illnesses in a year

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Formula:

$Binom(x)=\left(\genfrac{}{}{0ex}{}{n}{k}\right)p^k(1-p{)}^{n-k}$ Where:

• $n$: number of trials
• $k$: number of successes
• $p$: probability of success
• $\left(\genfrac{}{}{0ex}{}{n}{k}\right)$ the number of ways to obtain $k$ successes in $n$ trials