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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?
Find the probability that a bulb of the brand lasts between 1515 hr and 2010 hr.
the information below represents five baskets of apples containing the quantities shown below.basketsnumber of
Apply the sign test to the above example. Did the results change? Which test is more powerful, the sign test or the Wilcoxon signed-rank test? Why?
In biostatistics, hypothesis testing is used to determine the likelihood of observing a particular value of a sample statistic. Confidence intervals provide a measure of accuracy by allowing us to define a range within which the true population param..
a. a furniture manufacturer produces sofas. to improve their production process they make a study of the sources of
question blackjack tablea standard deck of playing cards contains 52 cards divided equally into four suits spades
u.s. department of agriculture date reveal small farms in the usa number one million owners. small farm data show
The remaining 5 were not given the overview. Here are the scores for students in each group:
1. a large tank of fish from a hatchery is being delivered to a lake. the hatchery claims that the mean length of fish
Air pollution in large U.S. cities is monitored to see whether it conforms to requirements set by the Environmental Protection Agency. The following data, expressed as an air pollution index, give the air quality of a city for 10 randomly selected..
A consumer organization wants to know whether there is a difference in the price of a particular toy at three different types of stores.The price of the toy was checked in a sample of five discount stores, five variety stores, and five department ..
A new free-trade agreement increases total surplus. Everyone agrees on that. But your friend says, "Big deal, I am not supporting any such policy!" Can you argue why he should? Why he should not?
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