1. (a) Solve the following system of equations by using jacobi iterative method up to five iterations 2x1+ 2+ 3 = (6) 7 21 +412-3 = 6 21+ 2+ 3 = 6 (b) For any two events A and B, prove that P(AUB)-P(A)+P(B)- P(ADB). (4) 2. (a) Find the root of the function correct up to three decimal places by applying the Newton Raphson method f(x)=r 1. take To=1. (6) (b) Write the algorithm for the Newton Raphson Method for solving a non linear equation. (4) 3. Prove that correlation coefficient is independent of origin and scale. (10)