You choose random sample of size four from population consisting of 15 men and 5 women.
(a) If every person has equal chance of being selected for the sample and every person is chosen independently of the others, what is:
i. The probability that you will see no women in the sample
ii. The probability that you will see exactly one woman in the sample
iii. The number of women that you expect to see in the sample
iv. The variance of the number of women that will be in the sample
(b) Redo part(a), assuming that you randomly select 4 different people in such a way that every subset of 4 dffierent people has an equal chance of being chosen.
Hints for Q2
(a) In part (a), you are sampling with replacement. In part (b), you are sampling without replacement.