Answer
0.6549
Work Step by Step
To calculate $P(59.8 \leq x̄ \leq 65.9)$, we need to find the z-score:
$z = \frac{x̄ - μ_{x̄}}{σ_{x̄}}$
$z= \frac{59.8-64}{3}$ = -1.4
$z= \frac{65.9-64}{3}$ = 0.63
$P(-1.4 \leq z \leq 0.63) = 0.6549$, hence:
$P(59.8 \leq x̄ \leq 65.9) = 0.6549$
