Question: Given that z is a standard Normal random variable, find the following probabilities: ( 6 points ) P(z P(z> -0.21) P(-0.42 Given that z is

  1. Given that z is astandardNormal random variable, find the following probabilities: (6 points)
  2. P(z
  3. P(z> -0.21)
  4. P(-0.42
  5. Given that z is astandardNormal random variable, find z for each situation: (6 points)
  6. the area to the left of z is 0.57
  7. the area to the right of z is 0.84
  8. the total area to the left of -z and to the right of z is 0.5

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