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We consider a discrete-time Markov chain whose state space is the set {0,1,2} and whose one-step transition probability matrix is
We say that a renewal took place when the initial state 0 is revisited.
(a) What is the average number of transitions needed for a renewal to take place?
(b) Let N{t), for t > 0, be the number of renewals in the interval [0, t], where t is in seconds. If we suppose that every transition of the Markov chain takes one second, calculate
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Male runners follow a normal distribution with unknown mean u and standard deviation o = 5 kg. You compute 95% confidence interval for u. What is the 95% confidence interval for u?
They also send the upper 2.5% directly to the company without an interview. Based on the data the assumption of a bell-shaped distribution, what score should be used for the two cutoffs?
Is there evidence of difference in mean life of bulbs produced by the two kinds of machines. What is your conclusion?
a random sample of 100 adults was selected. 80 adults in the sample said they were non-smokers1. what conditions must
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Consider the problem of minimizing c/x over a polyhedron P. Prove the following: (a) A feasible solution x is optimal if and only if c' d ;::: 0 for every feasible direction d at x. (b) A feasible solution x is the unique optimal solution if and o..
for the following data xy806144364651sketch a scatterplot to show the relationship between x and y. what does the
How does a linear regression allow us to better estimate trends, costs, and other factors in complex situations?
Johnson Marketing is interested in producing and selling an innovative new food processor. The decision they face is the typical "make or buy" decision often faced by manufacturers. On one hand, Johnson could produce the processor itself, subcontr..
rough dominant to smooth black dominant to white. two dihybrid rough black guinea pigs are crossed to produce a litter
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