Ten friends go to an arcade and buy 20 game tickets each. Each ticket allows them to play one arcade game. The arcade will give a plush tanuld to any person who wins {at least} 12 games. [a]: lf one person plays 20 games, and wins each game with probability c C [U11] [independent of the other games}, what are the chances that the person wins a plush tanuki? 1|.r'I.lrite down your answer as a formula depending on c. [b] Use a calculator or computer to explicitly eyaluate the probability in part {al for c = 0.1 {you don't need to show your work for this one). You may round to three significant figure {three nonzero digits}. [cj assume each of the ten friends plays 20 games, each friend wins each game with probability 0.1, and the outcomes of the different games are all independent. What is the probability that at least one ofthe ten friends wins a plush tanuld? Show what formula you use for the answer and how you deriyed it, then evaluate your answer as a decimal using a calculator or computer: You may round to three significant figure [three nonzero digits}