Mathematics, 03.01.2020 05:31 jdmXdude3140
Acomponent of a computer has an active life, measured in discrete units, that is a random variable t where p(t = 1) = 0.4, pt = 2) = 0.6. suppose one starts with a fresh component and each component is replaced by a new component upon failure. define a markov chain xn, n = 0,1, by letting xn be the age of the component in service at time n. the lifetimes of consecutive components are independently distributed. we also take the convention that xn = 0 at the time of failure. the state space of xn is {0, 1}. as an example, if the first component works for 2 periods and the second component works for 1 periods, then we have x% = 0, x1 = 1, x2 = 0, x3 = 0, (1). determine the long run probability that a failure occurs in a single period. hint: this is related to the limiting distribution of xn. (2). what is the expected time between failures?
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Anut store normally sells cashews for? $4.00 per pound and peanuts for? $1.50 per pound. but at the end of the month the peanuts had not sold? well, so, in order to sell 40 pounds of? peanuts, the manager decided to mix the 40 pounds of peanuts with some cashews and sell the mixture for $2.00 per pound. how many pounds of cashews should be mixed with the peanuts to ensure no change in the? profit?
Answers: 1
Acomponent of a computer has an active life, measured in discrete units, that is a random variable t...
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