Answer
$p(\mu-2\sigma\lt x\lt \mu+2\sigma)=.9544$
Work Step by Step
According to table IV, page 773:
$p(0\lt z\lt 2)=.4772$
$p(\mu-2\sigma\lt x\lt \mu+2\sigma)=p(-2\lt z\lt 2)=2p(0\lt z\lt2)=2(.4772)=.9544$
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