[Computer Simulations.] Suppose that we know how to generate random numbers from
the standard normal distributions.
a) We want to generate 10,000 random numbers from a χ2 distribution with degrees of
freedom 5. Explain each step carefully.
b) We want to generate 10,000 random numbers from a t-distribution with degrees of
freedom 5. Provide each step carefully.
c) Once you generate 10,000 random numbers from a t-distribution with degrees of
freedom 5, how can you find a 5% critical values? That is, how can we find the value
of x such that P r[t −value ≥x] = 0.05?