Question: Given a standardized normal distribution (with a mean of zero and a standard deviation of 1), determine the following probabilities by drawing a normal curve

  1. Given a standardized normal distribution (with a mean of zero and a standard deviation of 1), determine the following probabilities by drawing a normal curve and identifying the area under the curve. Draw a normal distribution curve and identify the area of interest.
  2. P (Z > 1.96) =?
  3. P (Z > - 1.37) =?
  4. P (- 1.96 < Z < -0.25) =?
  5. What is the value of Z if only 15% of all possible Z values are larger?

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