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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.
It has been reported that 3% of all cars on the highway are traveling at speeds in excess of 70 mph. If the speeds of four random automobiles are measured via radar, what is the probability that at least one car is going over 70 mph?
A person is considering purchasing the stock of two home health companies that are similar in all respects except the proportion of earnings paid out as dividends.
Diastolic blood pressure are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12.
a) What type of research uses numeric measurement data? b) What type of research uses a research hypothesis? c) What type of research does not use statistical data analysis?
What is the probability that there are at least 40 "Bright" people among 1000 randomly chosen people? I) What is the probability that there are no more than 5% of "Bright" people among 1500 randomly chosen people?
represent a summary of a random sample of size 50 from a Poisson distribution. Find the maxim um likelihood estimate of Pr ( X = 2).
Calculation of Mallows Cp and Mallows Cpk
What is the smallest level of significance at which you could reject the null in favor of the alternative hypothesis?
find the region variable in the sampledataset. using sampledataset create a frequency distribution or a histogram.
we select a sample of 56 oakton studens and ask if they have taken a mathe course at oakton. we find that 26 answer
Any state auto insurance company took a random sample of 370 insurance claims paid out during a 1-year period. the average claim was $750 with a standard deviation of $150. find .99 confidence interval for the mean claim payment.
among a sample of 65 male soldiers the average shower time was found to be 2.23 minutes and the standard deviation was
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