SOLUTION: 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

Algebra ->  Probability-and-statistics -> SOLUTION: 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      Log On


   



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) About Me  (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.