I would like to know how to do this problems

1) How many different samples of size 2 can be drawn from a finite population of

size

8.4

(a) 4;

(b) 6;

(c) 12

(d) 18

(e) 400?

2) What is the probability of each possible sample if a random sample of size 3 is to

be drawn from a finite population of size

(a) 4;

(b) 6;

(c) 12;

(d) 18?

3) When we sample from an infinite population, what happens to the standard error of the mean if the sample size is

(a) increased from 3 to 27:

(b) decreased from 27 to 3

(c) increased from 27 to 243

(d) decreased from 243 to 27?

4) How large a random sample do we have to take so that its median is as reliable an estimate of the mean of a symmetrical infinite population as the mean of a random

sample of size n = 1,600?