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Poisson distribution: Quiz


Question 1: In ________, the conjugate prior for the rate parameter λ of the Poisson distribution is the Gamma distribution.
StatisticsStatistical inferenceBayesian inferenceStatistical hypothesis testing

Question 2: The Poisson distribution can be derived as a limiting case of the ________.
Normal distributionStudent's t-distributionNegative binomial distributionBinomial distribution

Question 3:
What type is thing is Poisson distribution?

Question 4: The ________ of the Poisson distribution with expected value λ is
Probability distributionCharacteristic function (probability theory)Normal distributionMoment-generating function

Question 5: All of the ________ of the Poisson distribution are equal to the expected value λ.
Normal distributionCharacteristic function (probability theory)CumulantProbability distribution

Question 6: λ is a positive ________, equal to the expected number of occurrences that occur during the given interval.
Real numberTranscendental numberIrrational numberComplex number

Question 7: See ________ for more general uses of transformations.
Linear regressionVarianceNormal distributionData transformation (statistics)

Question 8: If the expected number of occurrences in this interval is λ, then the probability that there are exactly n occurrences (n being a non-negative ________, n = 0, 1, 2, ...) is equal to
Field (mathematics)Natural numberIntegerRational number

Question 9: The Poisson distribution can be derived as a limiting case to the ________ as the number of trials goes to infinity and the expected number of successes remains fixed — see law of rare events below.
Binomial distributionStudent's t-distributionNormal distributionNegative binomial distribution

Question 10: If the number of arrivals in a given time interval [0,t] follows the Poisson distribution, with mean = λt, then the lengths of the inter-arrival times follow the ________, with mean 1 / λ.
Gamma distributionStudent's t-distributionNormal distributionExponential distribution


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