Answer
0.3538
Work Step by Step
To calculate P(x̄ < 260), we need to find the z-score:
$z = \frac{x̄ - μ}{σ}$
$= \frac{260-266}{16}$ = -0.375
P(z < -0.375) = 0.3538, hence:
P(x̄ < 260) = 0.3538
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