Let the random variable U=.32 be a realization of a Uniform on (0,1) distribution and the random variables (Z1...Z10) = (-3.03, .63, .37, -2.06, .52, -1.38, 1.16, -.64, .57, 1.31) be realizations of 10 independent N(0,1) random variables.
Express a single realization from each of the following distributions in terms of the given value of U and/or a subset of Z1...Z10 as you may not need all 11 values.
a) Bin(21,.6)
b) Poisson(gamma=3)
c) Uniform on (-3.7,6.5)