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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.
FT% is normally distributed with a mean of 0.721 and a standard deviation of 0.082. Which percentage of NBA players have a FT% lower than 0.784? (Round off to the nearest percent.)
assume that a procedure yields a binomial distribution with a trial repeated n times. use the binomial probability
Do a feasibility study to assess the likelihood of the project being completed and producing useful results. If possible, the feasibility study should contain some preliminary results (e.g. a pilot data set and initial data analysis).
Assume grades in a course follow a normal distribution. The average grade in a class is 75, and the standard deviation is 5 points. A professor takes a sample of 10 people in the class and calculates the average for that class is also 75. IN other..
Provide a plausible research question in the field of education that implies a bivariate correlation or regression. Identify your research question, your research (alternative) hypothesis, and your null hypothesis.
what foods do aeronautical engineers like? there were three types of food and the researcher recorded which foods were
a professor gives tests that are either hard medium or easy. if she gives a hard test her next test will be either
flip a coin 60 times. record the outcome of each of the 60 flips in order from 1 to 60 using the tally sheet
Find the probability that 665 or fewer college students in the sample send and receive text messages with their phones? Is this result unusual?
As of 12-31-13, G owned several limited-life intangible assets. During 2014, G purchased an unlimited-life intangible asset for $60,000.
Determine the correlatins between pairs of all interval variables (i,e., absences with PE, PE with math, math with writing) How much of the math grade can be explained by the PE grade?
A Tamiami shearing machine is producing 10 percent defective pieces, which is abnormally high. The quality control engineer has been checking the output by almost continuous sampling since the abnormal condition began.
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