[Solved] A population is normally distributed with a mean of 25 and a standard deviation of 5. (2 points each except part e) Show your work. If a piece


Question: A population is normally distributed with a mean of 25 and a standard deviation of 5. (2 points each except part e ) Show your work.

  1. If a piece of datum is randomly taken from this distribution, what is the probability that it is less than 20?
  2. If a piece of datum is randomly taken from this distribution, what is the probability that a value of X is between 20 and 35?
  3. What value represents the 90 th percentile of the distribution?
  4. Between what two values will the middle 80% of the data fall?
  5. If a sample of 4 pieces of data are taken from this distribution, what is the probability the mean will be less than 20? (5 points)

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