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Suppose that the weather can be only sunny or cloudy, and that the weather conditions on successive mornings form a Markov chain with stationary transition probabilities. Suppose also that the transition matrix is as follows:
(a) If it is cloudy on a given day, what is the probability that it will also be cloudy the next day?
(b) If it is sunny on a given day, what is the probability that it will be sunny on the next two days?
(c) If it is cloudy on a given day. what is the probability that it will be sunny on at least one of the next three days?
A manufacturer ships toasters in cartons of 50. In each carton, they estimate a 2% chance that one of the toasters will need to be sent back for minor repairs. In a batch of 25,000 toasters, what are the chances that fewer than 475 need to be retu..
Find an equilibrium of this situation in which both grocers randomize between staying and quitting every month until at least one grocer quits.
Find the probability that a randomly selected student spends between eighty and ninety percent of the time on the test. Find the expected value of X. E(X)
Twenty-eight percent responded "win a lottery or sweepstakes." Does this provide convincing evidence that more than onefourth of U.S. adults
You wish to be 95% confident and have an error of 0.4 mpg. The standard deviation is estimated at 1.8. How big must the sample be?
A survey of 600 non-fatal accidents showed that 111 involved the use of a cell phone. Find a point estimate for p, the population proportion of accidents that involved the use of a cell phone.
What is the area between a raw score of 113 and 126 in a normal distribution with a mean of 100 and a standard deviation of 100?
a sample of 12 observations is selected from a normal population for which the population standard deviation is known
Construct a scatterplot and verify that estimating a simple linear regression is appropriate in this problem.
Would a random sample of 100 students be large enough to provide convincing evidence that the quarter system is favored? Explain.
Determine the critical regions for test in terms of the sample mean, what is the probability of a type II error for this test if the true mean is in fact 195 mg and what impact would reducing the sample size have on the type I and type II errors?
the ebit of a firm is 300 the tax rate is 35 the depreciation is 20 capital expenditures are 60 and the increase in net
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