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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?
The heights and shoe sizes of the starting lineup of a tournament baseball team are listed below. Use a calculator to determine the correlation coefficient.
Undergraduates at her college and mails a questionnaire to 250 students selected at random. Only 104 questionnaires are returned. what is the population.
If two of totes don't conform to purity requirements, determine the probability that at least one of nonconforming totes is selected in sample?
In one state, 52% of the voters are Republicans, and 48% are Democrats. In a second state, 47% of the voters are Republicans, and 53% are Democrats. Suppose a simple random sample of 100 voters are surveyed from each state. What is the probability..
Credit card holders follows a normal distribution with unknown mean and known standard deviation of $90. what is the 99% confidence interval for the mean?
Aa mean of 72 mph and a standard deviation of 3 mph. Find the interval that contains the sppeds of 95% of vehicles traveling on this section of i-95.
How do hypothesis-testing procedures differ for the population mean when the population standard deviation is known or unknown? What is the relationship between two-sided hypothesis tests for means and confidence intervals?
for a one-tailed hypothesis test the critical z-value of the test statistic is -1.48. which of the following is true
The formula for a 95% confidence interval yields the interval 640 ± 5.88. Find out whether each of the given statements is true or false.
Determine the least square trend equation. Estimate the number of employees in 2008. By how much the number of employees decreases (or increases) per year on the average?
What is the approximate probability that the average weekly postage expense for the past 52 weeks will exceed the budgeted amount of $ 400?
The central district students failed. Develop a probability tree showing all marginal, conditional and joint probabilities. Develop a joint probability table.
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