dc75-4288-9149-c468460857f4/2/TPP7181%20Ass%203G.pdf + DOOK. You are advised to make a copy of this assignment before mailing. 1. Three coins are thrown up at random. (a) Draw a table of all the possible outcomes (you can only get a head or tail on each coin). For example one outcome is H H T. (b) What is the probability that you get two heads and one tail (order does not matter)? (c) Assume for this last question that the probability changes so you now have a biased coin such that, P(head) = ; and that P(tail) = . Now what is the probability that you get two heads and one tail? (5 marks) 2. Two friends, Anna and Daniel often play games with cards or dice with each other. Over the years they have found that Anna wins 7 out of every 10 games of cards while Daniel wins 6 out of every 9 game of dice. They play one game of cards and then a game with dice. (a) Draw a tree diagram to describe the situation. (b) Find the probability that Anna wins both games. (c) Find the probability that Daniel wins the second game with dice. (6 marks) 3. The number of customers at a cafe were recorded over a period of 30 working days. The results were as follows: 200 288 261 251 190 100 50 320 155 75 85 90 158 200 210 258 210 244 293 184 99 5 270 196 234 310 255 343 272 311 (a) Construct a cumulative relative frequency table and use this to draw a cumulative relative frequency curve. (b) Find the five-number summary for these data. (c) Display your answer to (b) as a box and whisker plot