The credit score of a 35 year old applying for a mortgage at Ulysses Mortgage Associates is normally

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      Anonymous
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      The credit score of a 35 year old applying for a mortgage at Ulysses Mortgage Associates is normally distributed with a mean of 600 and a standard deviation of 100.
      (a) Find the credit score that defines the upper 5 percent.
      (b) Seventy-five percent of the customers will have a credit score higher than what value?
      (c) Within what range would the middle 80 percent of credit scores lie?

      I know the answer they are below.
      I have no idea how 5% becomes 1.645 or 75% becomes -.68 or, etc..
      How please i am begging????
      Is there a formula in excel to find out how 5% becomes 1.645, or etc????

      a) Upper 5% the Z = 1.645
      X = 600 + 1.645 * 100 = 764.5
      b) Upper 75% the Z = -.68
      X = 600 – 0.68 * 100 = 532
      c) Middle 80% the Z = -1.28 and 1.28
      X = 600 – 1.28 * 100 = 472
      X = 600 + 1.28 * 100 = 728



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