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A random variable is normally distributed with a mean of = 44 and a standard deviation of = 17. Calculate the Z-score for a value

  1. A random variable is normally distributed with a mean of = 44 and a standard deviation of = 17. Calculate the Z-score for a value of 37.
  2. A random variable is normally distributed with a mean of = 41 and a standard deviation of = 12. Calculate the Z-score for a value of 16.
  3. A random variable is normally distributed with a mean of = 50 and a standard deviation of = 5. What is the probability that the random variable will assume a value between 45 and 55?

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