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(See Solution) A bank's loan office rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50.

Question: A bank's loan office rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50.

  1. If one applicant is randomly selected, find the probability that the rating is between 200-235.
  2. If one applicant is randomly selected, find the probability that the rating is above 250.
  3. If one applicant is randomly selected, find the probability that the rating is between 210-260.
  4. Find D 6 , the rating which separates the lower 60% from the top 40%.
  5. If 30 different applicants are randomly selected, find the probability that their mean rating is below 220.

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