Answer:
The probability is 0.06681
Step-by-step explanation:
To calculate this, we need to calculate the standard score or z-score
Mathematically, the standard score can be calculated using the formula;
z-score = (x - mean)/SD
from the question, the mean is 514 and the standard deviation is 118
The z-score is thus = (691-514)/118 = 177/118 = 1.5
The probability we are trying to calculate is thus;
P(x ≥ 691) or P(z ≥ 1.5)
Using standard score table or calculator,
Recall, P( x < 691) = 1 - P( x ≥ 691)
Hence, P( x ≥ 691) = 1 - P( x < 691)
P( x ≥ 691) = 1 - 0.93319
= 0.06681
