Question

In: Statistics and Probability

a. If ? ~ ?(?,?), find the distribution (name and parameters) of ?=?X+?. b. If ?~?(0,?),...

a. If ? ~ ?(?,?), find the distribution (name and parameters) of ?=?X+?.

b. If ?~?(0,?), find the density of ?=|?|.

c. If ? ~ ?amma(?,?), find the distribution (name and parameters) of ?=?X.

d. If ? ~ Uniform(0,1), find the density function of ?=√?.

e. If Θ ~ Uniform(−?/2,?/2), find cdf and the density function of ?=tan(Θ).

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