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Let X be N(O, 1/0). Assume that the unknown O is a value of a random variable 0 which has a gamma distribution with parameters IX = r/2 and fJ = 2/r, where r is a positive integer. Show that X has a marginal I-distribution with r degrees of freedom. This procedure is called compounding, and it may be used by a Bayesian statistician as a way of first presenting the I-distribution, as well as other distributions.
Assume that the underlying population variances are equal. a. Are the two samples paired or independent?
The fruit ?y Drosophila melanogaster normally has a gray color. However, because of mutation a good portion of them are black. A biologist eager to learn about the effect of mutation wants to collect a random sample to estimate the proportion of b..
Students whose test scores are in the upper 10% are eligible for scholarship opportunities for college. What is the test score that corresponds to the upper 10% cutoff point of the probability distribution?
Solve Problems 1 and 2 using Laplace transforms with Initial Conditions:
The percent of persons residing in that county, by age. Use the population distribution to find the expected juror frequencies. Test the researcher's claim at α = 0.01.
A statistic practitioner working for Major League Baseball determined the probability that the hitter will be out on ground balls is .75. in a game where there are 20 ground balls, find the probability that all of them were out.
A fast food restaurant executive wishes to know how many fast food meals teenagers eat each week. What is the minimum sample size required to create the specified confidence interval
Clouds were randomly seeded or not with silver nitrate. Rainfall amounts were recorded from the clouds. The purpose of the experiment was to determine if cloud seeding increases rainfall. The following data is obtained:
Determine the exact probability of creating a mini license plate with a 7. Give solution exactly in reduced fraction form.
there are 4000 mangoes in a shipment. it is found that it has a mean weight of 15 ounces with a standard deviation of
At 95% confidence using the critical value approach, test to see if the percentage of defective systems produced by x-Game has exceeded the industry standard.
Determine the correlation coefficient and determine the coefficient of determination and determine the coefficient of correlation and coefficient of determination.
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