Question: A random variable is normally distributed with a mean of = 50 and a standard deviation of = 5. What is the probability that the

  1. 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 that is less than 40?
  2. Given thatzis a standard normal random variable, compute the probability that it takes on a value between -2 and -1.
  3. Given thatzis a standard normal random variable, find thez-score for a situation where the area to the right ofzis 0.0901.

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