Answer
0.0465
Work Step by Step
To calculate $P(x̄ \leq 260)$, we need to find the z-score:
$z = \frac{x̄ - μ_{x̄}}{σ_{x̄}}$
$= \frac{260-266}{3.578}$ = -1.68
$P(z \leq -1.68 ) = 0.0465$, hence:
$P(x̄ \leq 260) = 0.0465$
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