Suppose the first trial has probability of success 0.5, and the second is successful with probability 0.8

Question:

Suppose the first trial has probability of success 0.5, and the second is successful with probability 0.8 if the first is and succeeds with probability 0.2 if the first fails. Show that the second trial has a probability 0.5 of success. Find the probabilities of zero, one, and two successes, and compare with the binomial with n = 2 and p = 0.5. Does the expected number of successes match the binomial Does the variance?
The binomial depends on two key assumptions: the trials must each have the same probability of success, and the trials must be independent. Show that the of outcomes does not match the binomial in the following cases.
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...