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4.3 Posterior predictive checks: Let's investigate the adequacy of the Poisson model for the tumor count data. Following the example in Section
4.4, generate posterior predictive datasets y (1) A , . . . , y (1000) A . Each y (s) A is a sample of size nA = 10 from the Poisson distribution with parameter ? (s) A , ? (s) A is itself a sample from the posterior distribution p(?A|yA), and yA is the observed data. a) For each s, let t (s) be the sample average of the 10 values of y (s) A , divided by the sample standard deviation of y (s) A . Make a histogram of t (s) and compare to the observed
The number of bacteria N in a culture is given by the model N=250e^kt, where t is the time in hours, with t=0, corresponding to the time when N=250.
Probability of a student receiving a particular grade, A student taking Management Science 301 at East Haven University will receive one of the five possible grades for the course
The projected number of Americans age 65 and older for the years 1995-2030 can be modeled by the equation N(x)= 0.03x^2+0.315x+34.23 million people, where x is the number of years after 2000.
if a stone is thrown down at 120 feet per second from a height of 1000ft, its height after t seconds is given by s=1000-120t-16t^2. Find its instantaneous velocity function.
Prove the Second Isomorphism Theorem: If A is an ideal of R and S is a subring of R, then S+A is a subring, A, and (S intersecting A) are ideals of S+A and S, respectively, and (S+A)/A isomorphic to A/(S intersecting A).
question a a consumer organization wishes to test 12 different new perfumes and has devised a number of tests to
A stone is tossed vertically upward with an initial velocity of 30 ft/s from the top of a 40 ft building. What is the height of the stone after 0.21 s?
Did you identify all errors in the problem? Did you correctly solve/simplify the problems, showing all steps and any formulas or properties that support the correctly solved problem?
Christina makes $9.25 purchase at a bookstore in Reno with a $20 bill. The store has no bills and gives her the change in quarters and dollar coins. There are 19 coins in all. How many of each kind are there?
Let f be a surjection. Then f is an isomorphism iff the order of the element f(a) is equal to the order of the element a , for all a belong to G.
on january 1 1971 arthur clarke deposited 20 in a bank that paid 5 interest compounded annually. how much money will he
Explain. Provide your classmate's with one or two solutions with which they must create a quadratic equation.
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