Answer:
The probability is 0.003
Step-by-step explanation:
We know that the average
is:
![\mu=500](https://tex.z-dn.net/?f=%5Cmu%3D500)
The standard deviation
is:
![\sigma=100](https://tex.z-dn.net/?f=%5Csigma%3D100)
The Z-score is:
![Z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
We seek to find
![P(x800)](https://tex.z-dn.net/?f=P%28x%3C200%5C%20or%5C%20x%3E800%29)
For P(x>800) The Z-score is:
![Z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
![Z=\frac{800-500}{100}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B800-500%7D%7B100%7D)
![Z=3](https://tex.z-dn.net/?f=Z%3D3)
The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
![P(x>800)=0.15\%](https://tex.z-dn.net/?f=P%28x%3E800%29%3D0.15%5C%25)
For P(x<200) The Z-score is:
![Z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
![Z=\frac{200-500}{100}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B200-500%7D%7B100%7D)
![Z=-3](https://tex.z-dn.net/?f=Z%3D-3)
The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
![P(x](https://tex.z-dn.net/?f=P%28x%3C200%29%3D0.0015)
Therefore
![P(x800)=P(x800)](https://tex.z-dn.net/?f=P%28x%3C200%5C%20or%5C%20x%3E800%29%3DP%28x%3C200%29%20%2BP%28x%3E800%29)
![P(x800)=0.0015 + 0.0015](https://tex.z-dn.net/?f=P%28x%3C200%5C%20or%5C%20x%3E800%29%3D0.0015%20%2B%200.0015)
![P(x800)=0.003](https://tex.z-dn.net/?f=P%28x%3C200%5C%20or%5C%20x%3E800%29%3D0.003)
Answer:
if it is thren true (???) you gots to be more specific...pls)
Step-by-step explanation:
is this a trues or false satement
Answer:
$1045.85.
Step-by-step explanation:
A=p(1+r/12)^6
Here r = 0.09, P = $1000 so
Amount of money needed to pay off the loan =
1000(1 + 0.09/12)^6
= $1045.85.
Answer:
-7.07106
Step-by-step explanation: