Answer
0.3745
Work Step by Step
To calculate $P(x̄ \geq 65.2)$, we need to find the z-score:
$z = \frac{x̄ - μ_{x̄}}{σ_{x̄}}$
$= \frac{65.2-64}{3.80}$ = 0.32
$P(z \geq 0.32) = 0.0668$, hence:
$P(x̄ \geq 65.2) = 0.3745$
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