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Consider the data set on mercury in lakes in Maine (Hg.txt). Model the Hg levels as independent exponential random variables given θ, and use the Jeffery's prior on the rate θ.
(a) Use a new y node to get the posterior predictive probability P(y > .5/ y1,.... , y120) (the probability of a dangerous mercury level) and also the extreme value P(y > 3.0/y1, . . . , y120).
(b) Compare the two probabilities above with the ones from the fitted exponential model and also with the empirical fractions from the data.
(b) of Exercise 25 to calculate -2 · ln λ and test the null hypothesis = = = at the 0.05 level of signifi- cance. Explain why the number of degrees of freedom for this app
Cybersecurity is an area of increasing concern. The National Security Agency (NSA) monitors the number of hits at sensitive Web sites. When the number of hits is much larger
15% with salmonella, and 13% with both. What is the probability that a tested chicken was not contaminated with either kind of bacteria?
A company uses triple time estimates to determine expected completion time for all of their projects. If they determined the expected time to complete a project is 25 weeks
Use random sampling of clusters to estimate the mean or total of a population of your choice. In the process of carrying out the survey and making the estimate, think about
A curious parent observes a cereal commercial that states their product has an average of 50 pieces of real fruit per box with a standard deviation of 6 pieces per box. She de
a. Calculate the probability exactly three thefts occur in a minute. b. What is the probability there are five or more thefts in a minute? c. What is the probability there is
Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt "just on this trip"?
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