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1. Let X have a Poisson distribution with parameter 0. Assume that the unknown O is a value of a random variable 0 that has a gamma distribution with parameters IX = r and fJ = (1 -p)/ p, where r is a positive integer and 0 p 1. Show, by the procedure of compounding, that X has a marginal distribution which is negative binomial, a distribution that was introduced earlier (Section 3.1) under very different assumptions.
we are interested in testing whether the standard deviation of a population 1 is significantly greater than the
A multiple-choice examination consists of 90 questions, each having possible choices a, b, c, d, and e. Approximate the probability that a student will get at least 21 answers correct if she randomly guesses at each answer.
the following information gives the number of days absent from work for a population of 5 workers at a small
Is there evidence of a difference in objection to sharing information among the organizational groupings? (use α = 0.05)
What is the likelihood the sample mean is greater than $22.50 but less than $25.00?
If you do a quantitative study (SCHOOL ADVISORY PROGRAM) for your dissertation, you must estimate the sample size you will need in order to have a reasonable chance of finding a relationship among the variables stated in your research hypotheses (..
is lack of sleep causing traffic fatalities? a study conducted under the auspices of the national highway traffic
Southeastern Bell stocks a certain switch box at its central warehouse for supplying field service offices. The yearly demand for these connectors is 15,000 units.
A sample of 40 observations is selected from one somewhat normal population. The sample mean is 102 and the sample standard deviation is 5.
The household saving rates (percentage of disposable household income that goes into savings) have been reported for several countries-including the United States, Canada, France, Germany, and Japan-for the years 1980 through 1997. The percentages..
Suppose a new weight loss program was sponsored by the local health and fitness club in a small town. The program claims to make people lose more than five pounds in a month. Twelve participants were selected and their weights were recorded.
Dr Johnson wants to know if there is sufficient evidence to conclude that the grade distribution of his class is different than the historical grade distribution.
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