12 / 13 11 3. Three playing cards (a Jack. a Queen and a King) are placed in a box. A card is drawn from the box, its value is recorded, and then the card is put back into the box. The process is then repeated a second time. a) Draw a tree diagram for all possible outcomes of the two draws. (2 marks) b) Determine the number of outcomes in which a king is the first card drawn from the box. (1 mark) c) Find the probability that the first and second cards drawn are the same. (I mark) 1210 PART D- Application (22 marks) 1. Analyze the following box-and-whisker plot. 0 10 20 30 40 50 60 70 80 90 160 Mark ($6) a) What is the median value for the whole sample? (1 mark) b) What is the range? (1 mark) 2. A candy company packages jelly beans according to the following distribution: N (4.0.53 ). a) Draw a sketch for this distribution (3 marks) b) What percent of candy bags manufactured will weigh between 3.5 to 4.5 grams? (3 marks) 3. Three playing cards (a Jack. a Queen and a King) are placed in a box. A card is drawn from the box, its value is recorded, and then the card is put back into the box. The process is then repeated a second time. a) Draw a tree diagram for all possible outcomes of the two draws. (2 marks) b) Determine the number of outcomes in which a king is the first card drawn from the box. (I mark) c) Find the probability that the first and second cards drawn are the same. (I mark)