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1) Catching a cold during cold and flu season. For the two situations below, you can only use the binomial and Poisson distributions for one or the other, meaning you will use a different distribution for the two scenarios. Justify your selection for which distribution to use for each scenario in your answer. i) Assume that you shake hands with 10 other students, and that each student has a 0.25 probability of having a cold. Compute the probability that you shook hands with 1, 5, and 10 people that have a cold. (+25 points) i) Assume there are 30 people in the average class and that there is the same probability for a student having a cold as in part (). Compute the average number of students with a cold in the average class. What is the probability that more than 10 students in the average class have a cold during cold and flu season? (+25 points)

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