Solution :
Given that ,
mean = = 66.6
standard deviation = = 3.5
= / n = 3.5 / 100 = 0.35
P( > 67.6) = 1 - P( < 67.6)
= 1 - P[( - ) / < (67.6 - 66.6) / 0.35]
= 1 - P(z < 2.86)
= 1 - 0.9979
= 0.0021
Probability = 0.0021
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