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Given that z is a standard normal random variable, find z for each situation. (Draw the...

  1. Given that z is a standard normal random variable, find z for each situation. (Draw the graph in a paper with numbers going from -3 to +3. No need to draw it here for credit. But do it for your own learning.)
  1. The area to the left of z is 0.025

  1. The area to the right of z is 0.975.

  1. The area to the right of z is 0.025.

  1. The area to the left of z is .6700.
  1. Suppose X it a normally distributed random variable with mean of 328 and standard deviation of 92.
    1. What is the z-score of X=500?

  1. What is the z-score of X=250?

  1. What is the first quartile (the 25% percentile) of X?

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