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| Question 1168012:  The amounts of money requested on home loan applications at Down River Federal Savings follow the normal distribution, with a mean of $68,000 and a standard deviation of $16,000. A loan application is received this morning. What is the probability that: (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.)
 
 a. The amount requested is $83,000 or more?
 
 Probability
 
 b. The amount requested is between $56,000 and $83,000?
 
 Probability
 
 c. The amount requested is $56,000 or more?
 
 Probability
 
 Answer by Boreal(15235)
      (Show Source): 
You can put this solution on YOUR website! z=(x-mean)/sd >15000/16000=0.94
 that probability is 0.1736
 this is z between -0.75 and z +0.94
 0.5998 probability
 The third is the sum of the first two probabilities or 0.7734 probability.
 
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