Poisson Processes and Bayes' Rule

  1. Poisson Processes and Bayes' RuleWe observe a Poisson process with unknown rate. The rate 𝜆 of the Poisson process is either
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  2. Consider Bayes' formula as discussed from the lecture. Which of the following pieces of information are definitely necessary in
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  3. Regular (not junk) emails arrive at your inbox according to a Poisson process with rate r; and junk emails arrive at your inbox
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  4. Regular (not junk) emails arrive at your inbox according to a Poisson process with rate r; and junk emails arrive at your inbox
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  5. Football team makes in average 2 touchdowns per game.Use Poisson distribution to find probability that this team will make 5
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  6. Let X and Y be two independent Poisson random variables, with means λ1 and λ2, respectively. Then, X+Y is a Poisson random
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  7. In this problem, you may find it useful to recall the following fact about Poisson random variables. Let X and Y be two
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  8. When updating a prior probability based on new information, which of the following methodologies is MOST useful?Multiple choice
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  9. Let K be a discrete random variable with PMFPK (k)= 1/4, if k 1, 1/2, if k 2, 1/4, if k 3, 0 otherwise. Conditional on K = 1 2,
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  10. Let K be a discrete random variable with PMFP K (k) =1/4, if k = 1,1/2 if k2, 1/4, if k = 3, 0 otherwise. Conditional on K = 1,
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