Question

In a community of 35 members at a health resort, there are 12 veterans; the management is deciding on randomly selecting the first group of 10 members who will be sent on a river cruise.

(i) What is the total number of distinct groups the management can select with exactly THREE veterans? (ii) What is the chance of selecting such a group? Name the distribution that applies and write the expression to evaluate (substituting the values) and calculate anyway you like. (4+8=12pts.)

(iii) What is the probability that at least FOUR are veterans? Write the expression and use Excel function to calculate the value. (8 pts)

(do by hand and use excel function)

Answer 1