Answer
The interval $(29.33,70.67)$ lies completely within the range from 0 to 1000.
Work Step by Step
$q=1-p=1-.05=.95$
$\mu=1000(.05)=50$
$\sigma=\sqrt {npq}=\sqrt {1000(.05)(.95)}=6.89$
$\mu\pm3\sigma=50\pm3(6.89)=(29.33,70.67)$
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