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Consider the following data from 50 Bernoulli Trials
Let theta be the probability of the observing a one for any single trial.
a) Find the likelihood of any sequence of s trials containing y ones.
b) If the prior on theta is uniform such that p(theta)=1, find an expression for the posterior distribution for theta after 10 trials.
What is the maximum likelihood estimator of theta?
c) Find an expression of the posterior after another 30 trials. In what sense has the prior been updated?
The sample mean and the standard deviation were determined to be 120 and 40 respectively. The standard error of the mean is?
Perform a contingency analysis on the data to determine if there is any dependency between the number of level of education attained by the father and the size of his family.
A random sample of 16 federal inmates is selected. What is the probability that exactly 12 are serving time for drug dealing?
First k is repeated (possibly by using some of the first k flips). Show that the expected number of additional flips after the initial k is 2^k?
Find the probability of accepting a lot as a function of the actual fraction of defective chips. In particular, let the actual fraction of defective chips in a given lot equal any of 0.02, 0.04, 0.06, 0.08, 0.10, 0.12, 0.14, 0.16, 0.18. Then compu..
Based on comparing the computed Chi square and the critical Chi square, which of the following is (are) true?
the probability of a manufacturing defect in an aluminum beverage can is .00009. if 100700 cans are produced find the
What do the results suggest? How might you use this data from this sample size to develop a smoking cessation program at your workplace?
Find the P value or an interval containing the P value for the sample test statistic.
assume that a set of test scores is normally distributed with a mean of 78 and a standard diviation of 10. what
Testing for Population mean - Can the difference in average educational level between the sample and the nation be explained by chance variation?
the number of viewers of american idol has a mean of 29 million with a standard deviation of 10 million. assume this
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