Test whether the following observations are consistent with a Poisson distributi

Question

Test whether the following observations are consistent with a Poisson distribution: 1, 4, 2, 7, 4, 3, 0, 2, 5, 2, 3, 2, 1,5, 5, 0, 3, 2, 2,2, 2, 1, 4, 1, 2, 4. Test whether the following observations are consistent with a standard around distribution: 1.70, 0.11, 0.14, 0.81, 2.19 -1,56, -0.67, 0.89, -1.24, 0.26 -0.05, 0.72, 0.29, -1.09,-0.43 -2.23, -1.68, 0.23, 1.17, -0.87 -0.28, 1.11, -0.43, -0.16, -0.07 Test whether the following observations are consistent with a uniform distribution on [0, 100]. 99, 53, 18, 21, 20, 53, 4, 32, 51 24, 51, 62, 98, 2, 48, 97, 64, 61, 18 25, 57, 92, 72, 95 Let T be an exponential random variable with mean 2. That is the density of T is f(t) = 1/2 e^-1/2 for t Greaterthanorequalto 0. Find the 20th percentile of T. Test whether the following observations are consistent with an exponential distribution.

Explanation / Answer

Compute the mean and variance of the given data.

Mean=2.65

Variance=2.88

Since, mean and variance of the given data are not equal, the distribution does not follow Poisson dsitribution.

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