Consider two machines that are maintained by a single repairman. machine i functions for an exponentially distributed amount of time with rate λi before it fails. the repair times for each unit are exponential with rate μi. they are repaired in the order in which they fail. formulate a markov chain model for this situation with state space {0, 1, 2, 12, 21}. (b) suppose that λ1 = 1, μ1 = 2, λ2 = 3, μ2 = 4. find the stationary distribution.

The graph of g(x) is a translation of y = which equation represents g(x)?

If the measure of angle 1 is 110 degrees and the measure of angle 3 is (2 x+10 degree), what is the value of x?

1. if we have 3 babies what is the probability they’re going to be all boys? 2. if we roll 2 die at the same time what is the probability of getting less than 10 on the first roll and a 5 on the second roll 3. if we have 3 babies what is the probability their is going to be 2 girls? 4. if we have 3 babies what is the probability of having no more than 1 girl? 5. it we have 3 babies and then have another 3 babies what is the probability of us having at least 1 boy and then having all girls?