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In: Statistics and Probability

In a given university, number of credits completed by a BS graduate is a normal distribution....

  1. In a given university, number of credits completed by a BS graduate is a normal distribution. The average credits was 129.4, with a standard deviation of 5.2.
  1. What is the chance that a randomly selected BS degree graduate completed over 135 credits?
  2. What proportion of graduates will finish between 125 and 135 credits?
  3. Among graduates, what is the lowest number of credits which is among top 2% of students with earned credits?
  4. Kelly is graduating this semester, a student once heard that she took lots of classes unnecessary for the degree (could be due to the fact that she likes to learn), so it is reasonable to assume that she earned over 135 credits, what is the chance that she studied over 140 credits?
  5. If we randomly select 6 graduates, what is the chance that 4 of them earn less than 140 credits?

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