Given the random variable X such that X ~ B(7, p) and P(X = 4) = 0.09724, find P (X = 2) where p < 0.5.
It seems to be so simple, but the solution eludes me
Since we have:
Now you need to find that satisfies this equation. Probably the best approach is to find a numerical solution (trial and error, graphical method or the bisection method will do, and indicates a solution close to )