Recent content by crazy_craig

Homework Statement Logistics model: Consider the birth and death chain with birth rates π(n)=a + Bn and death rates μ(n) = (S + yn)n where all four constants (a, B, S, y) are positive. In words, there is immigration at rate a, each particle gives birth at rate B and dies at rate S+yn, i.e...

Thanks Ray! You're very good at explaining things, and I appreciate your help (again).

Yea, in that case, the E[T]=1 when the answer in the back of the book is E[T]=1.35 years Thanks for trying!

Homework Statement A submarine has three navigational devices but can remain at sea if at least two are working. Suppose that the failure times are exponential with means 1 year, 1.5 years, and 3 years. What is the average length of time the boat can remain at sea?Homework Equations Density...

I finally got it. Thanks a ton, Ray!

Thanks for the quick reply! Most of what you said makes sense, and I used a calculator to find the limit of P^n(D,M), which is 2/5, but this is a little confusing to me: "Think about starting from D ant taking one step. In order to reach M from D, we need to reach M from wherever we end...

Homework Statement Six children (Dick, Helen, Joni, Mark, Sam, and Tony) play catch. If Dick has the ball he is equally likely to throw it to Helen, Mark, Sam, and Tony. If Helen has the ball she is equally likely to throw it to Dick, Joni, Sam, and Tony. If Sam has the ball he is equally...

That's what I had thought. Actually, I had done: 1.7/2pi, but I didn't put parenthesis around 2pi on my calculator. Jeez. Well, I guess the semester just started. Thank you lewando!

Homework Statement What phase difference between two otherwise identical traveling waves, moving in the same direction along a stretched string, will result in the combined wave having an amplitude 1.3 times that of the common amplitude of the two combining waves? Express your answer in (a)...