Answer:
0.8154
Step-by-step explanation:
The data values in the normal distribution curve have a mean of 112 with a standard deviation of 19.2
Probability of shaded region is P(94<=x<=156)
P(94<=x<=156) = P(x<156) - P(x<94)
We use formula
[tex]z=\frac{x-mean}{standard deviation}[/tex]
[tex]z=\frac{156-112}{19.2}=2.29[/tex]
z= 2.29 (Use z-score table to find value)
z-score value is 0.9890
So P(x<156)= 0.9690
Now we find P(x<94)
[tex]z=\frac{94-112}{19.2}=-0.94[/tex]
z= -0.94 (Use z-score table to find value)
z-score value is 0.1736
So P(x<94)= 0.1736
P(94<=x<=156) = P(x<156) - P(x<94)
P(94<=x<=156)= 0.9690 - 0.1736= 0.8154
Answer:
0.8154
Step-by-step explanation:
sorry I dont have an explanation but I know it's right. I just took the test
