e) What is the expected number of winners who are: . i) parents? ii) students? iii) teachers? 5. Two coins are randomly drawn, one after another (no replacement), from four loonies, a toonie, and two quarters. a) Illustrate the probability distribution. You can use a table, tree diagram, etc b) Determine the expected amount of money that would be drawn. b) Calculate the expected value and explain its meaning in the context of the problem. 4. There are 10 parents, 25 students, and 7 teachers on a school field trip. Eight people are selected at random to win special prizes at the eld trip. a) What is the probability that the winners are all students? b) What is the probability that exactly two are students? c) What is the probability that exactly three are students and two are teachers? d) What is the probability that at most two teachers are selected? Probability Distributions 1. A lottery has 6 000 000 tickets and each ticket costs $3.00. The table shows the prizes available. Complete the table as we did in class and find the expected profit/loss per ticket. Prize ($) Number of Prizes 1 000 000 250 000 2 50 000 10 1 000 50 100 500 10 1 000 5 10 000 2. Wildlife officials tagged 450 seals from a particular colony. Fifty seals were caught later, and 23 of them had been tagged. What is the approximate size of this seal colony? 3. At a fall fair, players in a ring-toss game are successful 31% of the time. You decide to toss 30 rings. a) What is the probability you win 30% of the time