Prove Theorem 5.5.5. Memory less Property of Geometric Distributions. Let X have the geometric distribution with parameter

Question:

Prove Theorem 5.5.5.
Memory less Property of Geometric Distributions. Let X have the geometric with parameter p, and let k ≥ 0. Then for every integer t ≥ 0,
Pr(X = k + t |X ≥ k) = Pr(X = t).
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...