Problem 5.2.6 extended Example 5.3 to a test of n circuits and identified the joint PDF of

Question:

Problem 5.2.6 extended Example 5.3 to a test of n circuits and identified the joint PDF of X, the number of acceptable circuits, and Y, the number of successful tests before the first reject. Write a MATLAB function

[SX,SY,PXY] = circuits(n,p)

That generates the sample space grid for the n circuit test. Check your answer against Equation(5.11) for the p = 0.9 and n = 2 case. For p = 0.9 and n = 50, calculate the correlation coefficient pX,Y.