Answer
0.1894
Work Step by Step
To calculate P(x̄ < 40), we need to find the z-score:
$z = \frac{x̄ - μ}{σ}$
$= \frac{40-43.7}{4.2}$ = -0.88
P(z < -0.88) = 0.1894, hence:
P(x̄ < 40) = 0.1894
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