Answer
0.0582
Work Step by Step
To calculate $P(x̄ \geq 68.7)$, we need to find the z-score:
$z = \frac{x̄ - μ_{x̄}}{σ_{x̄}}$
$= \frac{68.7-64}{3}$ = 1.57
$P(z \geq 1.57) = 0.0582$, hence:
$P(x̄ \geq 68.7) = 0.0582$
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