. Veruca Salt desperately wants one of the Golden Tickets to visit Willy Wonka's chocolate factory, and her parents always do what Veruca wants. She has instructed her father to hire workers to unwrap chocolate bars to hopefully find a Golden Ticket. The probability that any one chocolate bar has a Golden Ticket is only .00014 or 014%, a very small number, and these events are independent. The number of chocolate bars purchased to unwrap is 16,071 bars, a pretty big number. The workers will unwrap all the bars. (a)Let X be the number of golden tickets found. Does it make sense to model X a binomial random variable? Why or why not? (Hint: what do you need to check to use a binomial random variable?) (b) The number of golden tickets found can be effectively modeled by binomia random variable. What is the mean number of tickets found, or the expected number of tickets found? Here round to two decimal places. (c) Find the probability that there is exactly one ticket found. Here you can keep your answer in factorial notation if you want and that was a hint). (d) Find the probability that Veruca goes to Willy Wonka's chocolate factory, that is she finds one or more tickets. Here round to two decimal places