A continuous time Markov chain on state space {1,2}1,2 has generator matrix Q_{11} = -1, Q_{12} = 1, Q_{21}=4, Q_{22} = -4Q11=-1,Q12=1,Q21=4,Q22 =-4. What is the stationary probability of state 1? а). 1/5 b). None of the choices. c). 4/5 d). 1/2 е). 1/4

2/18/22, 10:14 AM M2623 Worksheet 6 - Chapter 5(1).html 5. (5.7.4) A UMass Boston student has earned 55 credits toward his degree but has a GPAof just 1.80. The registrar has informed him that he is on probation and will be suspended unless his overall GPA is at least 2.0 after one more semester. a. If he takes 12 credits, what is the minimum GPA he must earn in that semester to avoid being suspended? b. Answer the same question if he takes 9 credits. c. What if he took just 6 credits? d. Write a few sentences describing what these situations mean. file J/C:/Users/belliott/Downloads/M2623 Worksheet 6 - Chapter 5(1).html

Suppose that X₁ = 1; X₂ = 1; X3 = 0; X₁ = 1; X5 = 1, X6 = 1; X₂ = 0; X = 1; X9 = 0, X10 = 0, represents a random sample. Each of these X's comes from the same population and has a density of fx₁ = 0¹-* (1 - 0)*; x = 0,1 First determine the form of the maximum likelihood estimator for 0, then use the MLE formula and the data provided to find an estimate for 0. Round your answer to 3 decimal places. (Answer is 0.4)