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1. Suppose that there is a Beta(2,2) prior distribution on the probability µ that a coin will yield a "head" when spun in a speci?ed manner. The coin is independently spun 10 times, and "heads" appears 3 times.
(a) Calculate the posterior mean
(b) Calculate the posterior variance
(c) Calculate the posterior probability that .45 Ç µ Ç .55.
Draw a tree diagram to represent all probabilities for the following. a bag contains 11 red and 8 blue marbles. Two marbles are selected at random without replacement from the bag.
Take the Hotelling's location model (the linear city) discussed in class for the case in which all firms are required to charge the same fixed price. Further assume that firms choo
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what are the importances of time series
Imagine you are faced with the opportunity to play two coin flips, in which you get to call heads or tails prior to the flip of a fair, two-sided coin. (That is, heads and tails h
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Find Karl Pearson's correlation coefficient between the sales and expenses from the data given below:
#question An electronic assembly is subjected to a final functional test. Suppose that defects occur at random in these assemblies, and that these defects occur according to a Pois
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