In: Statistics and Probability
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).