If is a Binomial variate with the range and , then the parameter of is
Explanation for the correct option.
Step 1. Form the equation.
For binomial distribution for parameters and , is expanded as: where .
Now, here . So the equation can be written as:
Step 2. Find the value of .
In the equation , substitute for and solve the quadratic equation for .
So either or .
But the value of cannot be negative, so is rejected.
Thus the value of is .
Hence, the correct option is A.