Using the Metropolis-Hastings algorithm, generate a random sample from a geometric distribution with mean . Use the nominating distribution {aij, j = 1, 2, .

Using the Metropolis-Hastings algorithm, generate a random sample from a geometric distribution with mean θ. Use the nominating distribution {aij, j = 1, 2, . . .} such that

[Recall that if X is geometric with parameter θ, then P(X = x) = (1€“θ)x θ, for x = 0, 1, 2, . . .]

1,andi 1,2,3... ay-j-0,1 and i 0 0 otherwise