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Suppose the numbers of families that check into a hotel on succes- sive days are independent Poisson random variables with mean λ. Also suppose that the number of days that a family stays in the hotel is a geometric random variable with parameter p,0 p 1. (Thus, a family who spent the previous night in the hotel will, independently of how long they have already spent in the hotel, check out the next day with probability p.) Also suppose that all families act independently of each other. Under these conditions it is easy to see that if Xn denotes the number of families that are checked in the hotel at the beginning of day n then {Xn, n 0} is a Markov chain. Find
(a) the transition probabilities of this Markov chain;
(b) E[Xn|X0 = i];
(c) the stationary probabilities of this Markov chain.
explain whether an experiment or an observational study would be more appropriate to investigate whether acupuncture
Next, identify a data set that can be used for your process. The data set must consist of at least 25 data points. If your article does not contain a data set, then you may use the data set from Unit 1. Include the data set in your summary.
Body mass index is measures at the ratio of weight in kilograms to height in meters squared. Generate a 95% confidence interval estimate of the true BMI. 25 27 31 33 26 28 38 41 24 32 35 40.
Conduct a statistical test to determine if the sample is representative of the population.
Which salesperson should be assigned to each region to minimize total time? Identify the optimal assignments and compute total minimum time.
After careful analysis, East West has determined the following cost breakdown for the four manufacturers (in $1,000's) based on whether or not the trade bill passes:
Determine if the values are uniformly distributed. The researcher is using the chi-square goodness-of-fit test for this analysis.
What is the overall response rate for the 8000 names?
you randomly select 20 supermarkets and measure the temperature of their coolers. the sample mean temperature is 43.0f
Analyze whether the factors of totwrk, educ, and age are enough factors to explain the variation in sleep. Explain which additional factors should be explored in order to explain the variation in sleep. Provide your reasoning.
Thirty-six percent of women consider themselves basketball fans. You randomly select six women and ask each if she considers herself a basketball fan. a) construct a binomial distribution.
a biologist wishes to estimate the effect of an antibiotic on the growth of a particular bacterium by examining the
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