Markov Chains Question involving Probability, please help! A hard drive in a dat
ID: 3020933 • Letter: M
Question
Markov Chains Question involving Probability, please help!
A hard drive in a data center lasts k periods before failing with probability alpha_k, for k = 1, 2, ... Let X_t be the remaining life of the hard drive in service at the end of period t. Thus, X_t = 0 means that X_t + 1 will be the total operating lifetime of the next hard drive installed. Is {X_t} a Markov chain? Explain your answer. If it is a Markov chain, give the transition probabilities; if it is not, give an example where the Markov property is violated.Explanation / Answer
No, Xt is not a Markov chain
because it does not have the properties and conditions that a Markov chain have
for example when Xt is the remaining life of .... at the end of period t
that means that the Xt is only at the ond of period t
for that reason Xt is no t a markov chain