If the mean and variance of a binomial distribution are respectively 9 and 6, find the distribution.

Explanation

To find the binomial distribution given the mean and variance, we can follow these steps:

### Step 1: Understand the properties of a binomial distribution
The mean (μ) and variance (σ²) of a binomial distribution can be expressed in terms of the number of trials (n) and the probability of success (p) as follows:
- Mean: \( \mu = np \)
- Variance: \( \sigma^2 = npq \) where \( q = 1 - p \)

### Step 2: Set up the equations based on the given mean and variance
...