) What is the sum of the probabilities in any probability distribution? a) infinite b ) 1 clo d) We cannot determine this. ii) Which of the following would NOT be an example of a uniform probability distribution? a) The probabilities of the outcomes when rolling a single die. b) The probabilities of the number of girls and boys in a family of 4 children. c) The probabilities when drawing a suit from a random deck of cards (with replacement). d) The probabilities of the outcomes when a spinning spinner of 8 equal sections numbered 1 to 8. ili) Which of the following is FALSE regarding the binomial distribution. a) The random variable X, represents the number of successes. b) All trials must be dependent events. c) The probability of success is equal for each trial. d) The probability of success is the complement of the probability of failure. iv) Which of the following is an example of a continuous random variable? a) Length of a car in millimeters. b) The sum of two dice. c) The number of smarties in a box. d) The number people on a committee v) On a TV game show, there are 8 briefcases remaining, containing $1 000 000, $250 000, $10 000, $500, $100, $25, $2 and $1. You will win the contents of one briefcase. To be a fair game, how much should the game show host offer you to quit the game immediately? a) $ 1 260 628 b) $ 157 578.50 c) $500 000 d) $300 1. One summer, conservation officials caught and tagged 98 beavers in a river's flood plain. Later, 50 beavers were caught and 32 had been tagged. Estimate the size of the beaver population. 2. The following is a rectangular target for a game designed for archers. If you hit the smallest rectangle it is 10 points. If you hit the second largest rectangle it is 6 points. If you hit the largest rectangle it is 3 points. The dimensions for the largest rectangle is 12 by 11cm. The dimensions for the second largest is 9 by 8cm. The smallest dimensions are 3 by 4cm. What is the expected value for playing this game