The sum and the product of the mean and variance of a binomial distribution are 24 and 128 respectively . Find the distribution.

Explanation

To solve the problem, we need to find the parameters of a binomial distribution given the sum and product of its mean and variance. Let's denote:

- \( N \) = number of trials
- \( P \) = probability of success
- \( Q \) = probability of failure = \( 1 - P \)

### Step 1: Set up the equations for mean and variance

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