STATISTICS

Question 1' Considering the distributions covered in the textbook of this module (namely, Bernoulli, Binomial, Geometric. Negative Binomial, Hypergecmetn'c, Exponential, Uniform. Gamma, Normal and Beta distributions}, answer the following questions. Justify your answers! (a) Which distributions can have both negative and positive values? (b) Which distributions can be considered to involve independent trials? to) Which distributions have the property that for any random variable X which has that distri- bution. P [X 5 a} = i for some value of o (where a may depend on the parameters of the distribution)? (d) Which distributions can be symmetric, with suitable choices of the parameters? (e) Which distributions have two parameters