Stat 4800 Take home quiz (40 marks) (Due April 4) (Note: Must show steps in calculation. For question 4, make sure you include checking conditions for using the CLT. You are not allowed to ask anyone for help in how to do a question; however, you are welcomed to ask me for clarification. No cooperation, no group discussion, must do this only by yourself!!!) 1. [10] There are four kinds of apple sold in a certain supermarket, namely Red Delicious, Fuji, Gala, and Ambrosia. By experience, the chance of a customer purchases Fuji is twice as much as each of the other three kinds. Suppose there are 12 unrelated customers going to buy apple and the supermarket management is interested in studying the sales of Fuji. Answer the followings: (a) Show this is a Binomial experiment by stating the requirements in the context. [2] [S] Taboose OAS ban 08 sowind botes! ello yum wel (6) (b) What is the chance that 5 customers will buy Fuji? [2] (c) What is the chance that 7 customers will not buy Fuji? [2] nol sdh (d) What is the chance that at most 2 customers will not buy Fuji? [2] (0) (e) For every 12 customers, how many of them the management will expect to buy Fuji on the average? [2] P. 1 of 5