Answer question (a), (b), and (c)

Suppose Z1, Z2, . . . , Zn are a random sample from a standard Normal distribution (i.e. N(0, 1) ). (a) 2 mark Identify the distribution of Z12 + Z3, and provide your reasoning. (b) 2 mark Identify the distribution of Z1/|Z2|, and provide your reasoning. Note that |Z2| is the absolute value of Z2. (c) 2 mark Identify the distribution of Z12/Z22, and provide your reasoning