Q1. Do all the parts each part carry 5 marks.

i) if you sample n=2 from the population of N=100 without replacement, how many distinct samples would be possible

ii) Assuming samples with n=2 drawn from the population without replacement make a table that illustrates all the possible values of the sample mean with the first individual's value recorded vertically, and the second individual 's value recorded horizontally.Use your table to determine how many possible values could arise for the sample mean when n=2.

iii) assuming samples with n=2 drawn from the population without replacement , in how many samples would the sample would the sample mean be exactly 13? what is the probability of the event.