Describe how to use Box-Muller transform to generate four normal random samples with mean 3 and standard deviation 2.
a) Generate two uniform random variables, u1 and u2, in the range (0,1).
b) Compute z1 = √(-2ln(u1)) cos(2πu2) and z2 = √(-2ln(u1)) sin(2πu2).
c) Convert z1 and z2 to normal random variables with mean 3 and standard deviation 2 by multiplying by the standard deviation and adding the mean.
d) Repeat steps a-c to generate four normal random samples