explain something in math

the following topics must be known Probability distribution: Discrete and Continuous probability distribution and density function, Stochastic processes, Random variables and mathematical expectation, concepts of Queuing theory. Statistical quality Control and reliability Engineering: Control charts, Quality assurance and inspection, Reliability of series, parallel and complex systems, maintainability and availability. Linear Programming Problem: Construction, graphical solution, maximization and minimization problems, solution by Simplex method, special cases of Simplex method-degeneracy, Unbounded solution, infeasible solution. Numerical Analysis: Solution of algebraic and transcendental equation by using various methods, finite differences, differences of polynomial, factor notation, relation between the operators, Newton’s interpolation formula, central difference interpolation formula-Gauss interpolation formula, Interpolation with unequal intervals-Lagrange’s formula. Fourier and Z-Transform: Fourier sine and cosine transforms, finite Fourier sine and cosine transforms, properties of Fourier transform, Convolution theorem, some useful Z-transforms. i will not pay more than 18 $