Can the mean of a binomial distribution be less than its variance?

Explanation

To determine whether the mean of a binomial distribution can be less than its variance, we can follow these steps:

### Step 1: Define the parameters of the binomial distribution
Let \( X \) be a random variable that follows a binomial distribution with parameters \( n \) (number of trials) and \( p \) (probability of success).

### Step 2: Write the formulas for mean and variance
The mean \( \mu \) of a binomial distribution is given by:
\[
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