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bl dl Suppose there exists a minialotto game, where each ticket costs $2, and a winning ticket allows you to cash it in for $1,000 (which goes directly in the winning player's pocket). Suppose that each ticket has a 1/600 chance ofwinning, and that all tickets are independent of each other, which in particular means that multiple wins are possible without changing the individual probability of obtaining a winning ticket. Right now, Person A and Person B both have 39,000 in their pockets. Person A decides that she is going to buy 1,800 tickets and person B decides that he is going to buy 3,600 tickets. Answer the following: (NOTE THAT THERE ARE PARTS A, B, C, AND D] What is the probability that, after all tickets are bought, all tickets are checked for winners, and all winners have been cashed in, Person A has exactly $10,400 in her pocket? [Your answer should be an exact answer with an Excel formula coded into your cell.) (Hint: First determine how many wins are required for Person A to have 510,400, and then use that information to answer the question.) - 0 Let X be the random variable that counts the number of winning tickets of person A. Find the expected value ofX as well as the standard deviation of X. Expected value ofX Standard deviation ofX Let Y be the random variable that counts the number nldwinning-l tickets of person B. Find the expected value ofV as well as the standard deviation on. Expected value on Standard deviation on Let A represent the nal amount that Person A has in her pocket after all tickets are bought, checked, and cashed, and let B represent the nal amount that Person B has in his pocket after all tickets are bought, checked, and cashed. Which is larger, ElA) or E(B)? Highlight your answer and be sure to provide a hriefjustication ofyour answer. (Note that you are not required to actually calculate the expected values, only determine which will be larger, and why.) ElA) ElB) Justication