Compute the Mean and Variance of the Time Needed for the Spider to Catch the Fly Using MATLAB

Question

Solve the following using MATLAB:

Write the discrete-time simulation code to simulate the above spider-fly problem (you can either simulate the Markov Chain model, or simulate the spider and fly’s actions). The initial distance (i.e., at discrete time t=0) between them is 10 units. Simulate 1000 runs, and in each simulation run the simulation ends when spider catches the fly. Use these 1000 simulation runs to compute the mean value and variance of the time needed for the spider to catch the fly.   Please attach your simulation source code in your submission as a separated file, too. You can use whatever language for this programming.

Summary

This question belongs to MATLAB software and discusses about application of MATLAB in mathematics to solve the probability distribution problems.

Answer is in MATLAB format