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A computing center keeps information on a tape in positions of unit length. During each time unit there is one request to occupy a unit of tape. When this arrives the first free unit is used. Also, during each second, each of the units that are occupied is vacated with probability p. Simulate this process, starting with an empty tape. Estimate the expected number of sites occupied for a given value of p. If p is small, can you choose the tape long enough so that there is a small probability that a new job will have to be turned away (i.e., that all the sites are occupied)? Form a Markov chain with states the number of sites occupied. Modify the program FixedVector to compute the fixed vector. Use this to check your conjecture by simulation.
The smallest quantity in a cell is minus 35, but two different cells with minus signs have 35 units in them. What problem will this cause and how should this difficulty be resolved?
Probability of a person being blood type b is 13%. What is the probability that 4 unrelated people in random selection will all be type b?
an english teacher believes that there is a relationship between gender and reading ability. he takes a random sample
Find the P value or an interval containing the P value for the sample test statistic.
to decide whether two different types of tennis raquet have the same true average power different raquets have been
After every score in a sample has been multiplied by 4, the mean is found to be M =48 and the standard deviation is s =12. What were the values for the mean and standard deviation for the original sample?
The owner of a local golf course wanted to determine the average age of the golfers that played on the course. In a random sample of 30 golfers that visited his course, the sample mean was 48.34 and the standard deviation was 9.327. Calculate a 90..
With a=.05 and a sample of n=15 in a repeated-measures study comparing two treatments, what are the t statistic boundaries for the two-tailed critical region?
suppose that the company currently has 180 units in stock and it will not be receiving any further shipments from its
The lives of many people are affected by a fear that prevents them from flying. The Marist Institute for Public Opinion conducted a poll of 1014 adults, 48%of whom were men.
One of the most commonly used statistical techniques is the comparison of two means, also known as the t-test (for this you need quantitative, or interval level data).
the student newspaper called campus press polled a simple random sample of 280 undergraduate students in order to study
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