Answer:
P [ Z > 13 ] = 0,1587 or P [ Z > 13 ] = 15,87 %
Step-by-step explanation:
The probability that the line pressure will exceed 13.0 bar is:
P [ Z > 13 ] = 1 - P [ Z ≤ 13]
And P [ Z ≤ 13] will be find in z table for z (score) =
z ( score) = ( Z - μ₀ ) / σ
z (score) = (13 - 12 )/1
Then from z-table we find
P [ Z ≤ 13] = 0,8413
Finally
P [ Z > 13 ] = 1 - P [ Z ≤ 13]
P [ Z > 13 ] = 1 - 0,8413
P [ Z > 13 ] = 0,1587 or P [ Z > 13 ] = 15,87 %