Draw all possible samples of size n₁=2 without replacement from a finite population consisting of 0, 3, 4, 6. Similarly, draw all possible samples of size n₂=2 from the second population consisting of 1, 2, 3, 4.

a.Find the proportion of even numbers for all the samples drawn from the two populations and then find the possible differences between the sample proportions of the two populations.

b.Construct the sampling distribution of P1-P2 and compute its mean and variance