Which distribution does the decay parameter belong to?Question 2Answera.Uniform Distributionb.Poisson distributionc.Exponential di

(a)The Poisson distribution truncated at zero has probability function givenbyf (x; θ) = exp(−θ)θxA(θ)x! , x = 1, 2, ... (θ > 0),whereA(θ) = 1 − exp(−θ).Let X1, . . . , Xn be a random sample of size n from this truncated Poissondistribution.(i) Show that this distribution belongs to the regular exponential distri-bution and give its canonical parameter c(θ) and the correspondingsufficient statistic T (X1, ..., Xn).

Identify the following distributionQuestion 5Answera.Poissonb.Geometricc.Exponential

The Poisson probability distribution is which of the following type? Continuous probability distribution Discrete probability distribution Uniform probability distribution Normal probability distribution

The mean and the standard deviation are the same for which distribution?Question 4Answera.Uniform distributionb.exponential distribution

Explain exponential distribution. Explain its relationship with Poisson distribution.