Answer:
P(x>278) is 0.16
Step-by-step explanation:
We are given that a normal distribution has a mean of 266 and a standard deviation of 12.
Mean = [tex]\mu =266[/tex]
Standard deviation =[tex]\sigma = 12[/tex]
We are supposed to find P(x > 278)
So, Formula : [tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{278-266}{12}[/tex]
Z=1
Refer the z table for p value
p value = 0.8413
P(x<278) is 0.84
P(x>278)=1-P(x<278)=1-0.84=0.16
Option A is true
Hence P(x>278) is 0.16
