Generate the first 1000 numbers using Linear Congruential Generator (LCG). Knowing that the proper choice of the LCG parameters will determine the properties of your sequences, decide on the LCG parameters carefully. "Hint: the MOD function in MS excel, helps to find a remainder after a number (dividend) is divided by another number (divisor)." You are allowed to use MS excel. Make sure to conduct all necessary hypothesis tests. Using the obtained Pseudo-Random Numbers, generate the first 100 random variates X1, X2X100 according to the probability mass function of the following process distributions: Registration Uniform (1.0, 2.0) Aide to exam room Uniform (0.2, 1.3) Nurse assessment Triangular (2.0, 4.0, 10.0) Doctor examination Triangular (4.4, 6.1, 12.2) Lab test Uniform (3.4, 13.9) Doctor second visit Triangular (3.2, 4.5, 9.6) Nurse second visit Triangular (2.4, 6.1, 10.3) Prescription filling Uniform (2.3, 5.9) Using Arena Input Analyzer test the goodness of fit of each variable with regard to its corresponding distribution, then find the best fit distribution. Do not rely on Arena default settings, make sure to support your arguments with enough evidence.