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An insurance company has 12 policyholders who are considered to be high risk. The probability that one of these clients will file a major claim

  1. An insurance company has 12 policyholders who are considered to be high risk. The probability that one of these clients will file a major claim in the next year is 0.23. Assuming a binomial distribution,
  2. What is the probability that exactly 3 of them will file a major claim in the next year?
  3. What is the probability that less than 3 will make a major claim in the next year?
  4. What is the probability that more than 3 of them will file a claim in the next
  5. year?
  6. What are the mean, variance & standard deviation of the number of claims that
  7. will be filed next year?

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