Determine the appropriate parameters for model

Assignment Help Basic Statistics

Reference no: EM131005648

1. Suppose that a one-celled organism can be in one of two states-either A or B. An individual in state A will change to state B at an exponential rate α; an individual in state B divides into two new individuals of type A at an exponential rate β. De?ne an appropriate continuous-time Markov chain for a population of such organisms and determine the appropriate parameters for this model.

2. Consider two machines that are maintained by a single repairman. Machine i functions for an exponential time with rate μi before breaking down, i = 1, 2. The repair times (for either machine) are exponential with rate μ. Can we analyze this as a birth and death process? If so, what are the parameters? If not, how can we analyze it?

Reference no: EM131005648

Questions Cloud

Determine the final temperature : One compartment is evacuated, the other contains steam at 7.5 bar, 300 °C. The latches are removed and the gas expands to fill the entire volume of the cylinder. When the system reaches equilibrium, its pressure is 1 bar. Determine the final tempe..

Average number of customers in the shop : (a) What is the average number of customers in the shop? (b) What is the proportion of potential customers that enter the shop? (c) If the barber could work twice as fast, how much more business would he do?

Four-state continuous-time markov chain : De?ne a four-state continuous-time Markov chain that jointly describes the condition of the two machines. Use the assumed independence to compute the transition probabilities for this chain and then verify that these transition probabilities satis..

Why would you like to work for schlumberger : More than 40 years ago, Schlumberger adopted an aggressive and innovative human resource strategy that is based on diversity and partnerships with colleges and universities

Determine the appropriate parameters for model : De?ne an appropriate continuous-time Markov chain for a population of such organisms and determine the appropriate parameters for this model.

Proportion of time is the system shut down : (a) What proportion of time is the system shut down? (b) What is the (limiting) averaging number of components that are being repaired?

What would be your analysis of the current : What would be your analysis of the current /future state of the Credit Market, and the global economy using macroeconomic variables?

Average number of machines : (a) What is the average number of machines not in use? (b) What proportion of time is each machine in use?

How many moles of n-butane is in part b of the tank : The tank is heated slowly in such a way that the temperature in both parts rises at the same rate. As soon as the alarm goes off, the heating stops. Which alarm goes off, that of part A or part B?

User Account

All Pages