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A high school debate team of 4 is to be chosen from a class of 35....

  1. A high school debate team of 4 is to be chosen from a class of 35. How many possible ways can the team be formed? Is this a combination or permutation problem?

  1. There are 47 contestants at a national dog show. How many different ways can contestants fill the first place, second place, and third place positions? Is this a combination or permutation problem?

  1. The Department of Commerce in a particular state has determined that the number of small businesses that declare bankruptcy per month is approximately a mean of 6. Which of the following distribution can be used to find the probability that 0 bankruptcies will occur next month?

a. Binomial distribution

b. Poisson distribution

23. Based on the information in the above question, please find the probability that no bankruptcy occur next month. (Please show your calculation process)

24. Based on the information in the above question, please find the probability that at least 1 bankruptcy occur next month. (Please show your calculation process)

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