# Question

Decide in each case whether the hypothesis is simple or composite:

(a) The hypothesis that a random variable has a gamma distribution with α = 3 and β = 2;

(b) The hypothesis that a random variable has a gamma distribution with α = 3 and β ≠ 2;

(c) The hypothesis that a random variable has an exponential density;

(d) The hypothesis that a random variable has a beta distribution with the mean µ = 0.50.

(a) The hypothesis that a random variable has a gamma distribution with α = 3 and β = 2;

(b) The hypothesis that a random variable has a gamma distribution with α = 3 and β ≠ 2;

(c) The hypothesis that a random variable has an exponential density;

(d) The hypothesis that a random variable has a beta distribution with the mean µ = 0.50.

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