<u>Given</u>:
Let the random variable x is normally distributed with mean
and ![\sigma=5](https://tex.z-dn.net/?f=%5Csigma%3D5)
We need to determine the probability of ![P(X](https://tex.z-dn.net/?f=P%28X%3C80%29)
<u>Probability of </u>
<u>:</u>
The formula to determine the value of
is given by
![Z=\frac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
Thus, we have;
![P(X](https://tex.z-dn.net/?f=P%28X%3C80%29%3DP%28Z%3C%5Cfrac%7B80-90%7D%7B5%7D%29)
Simplifying, we get;
![P(X](https://tex.z-dn.net/?f=P%28X%3C80%29%3DP%28Z%3C%5Cfrac%7B-10%7D%7B5%7D%29)
![P(X](https://tex.z-dn.net/?f=P%28X%3C80%29%3DP%28Z%3C-2%29)
Using the normal distribution table, the value of -2 is given by 0.0228
![P(X](https://tex.z-dn.net/?f=P%28X%3C80%29%3D0.0228)
Thus, the value of
is 0.0228
Y+1=-1(x-3) is point slope formula
40% of 85 is 34 so 85-34=51
51 is your answer
Answer:
937.5
Step-by-step explanation:
$18.75 - 1 hour
$x. - 50hours
cross multiply the 18.75 with 50.