Q9Numerical3 Marks3 Sep 2023Let X1,X2,X3,X4∼i.i.d. Binomial(5,12)X_1, X_2, X_3, X_4 \sim \text{i.i.d. Binomial}\left(5, \frac{1}{2}\right)X1,X2,X3,X4∼i.i.d. Binomial(5,21). Define another random variable Z=Max(X1,X2,X3,X4)Z = \text{Max}(X_1, X_2, X_3, X_4)Z=Max(X1,X2,X3,X4). Find 4P(Z≤2)4P(Z \le 2)4P(Z≤2). Enter the answer correct to two decimal places.Your answerPress Enter to check.