In a binomial distribution , the sum and the product of the mean and the variance are 5 and 6 respectively, then is equal to

52 Explanation: The Solution: Step 1: Identify the variables. In a binomial distribution , let Mean = and Variance = (where ). Step 2: Set up the equations. 1. Sum: 2. Product: Step 3: Solve for Mean and Variance. These two values are roots of the quadratic equation . The roots are . Since Variance ( ) is always less than or equal to Mean ( ), we have and . Step 4: Find and . Step 5: Calculate the final expression. Correct Option: (1) 52

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