$(1)$ furnace repair bills are normally distributed with a

mean of $271$ dollars and a standard deviation of

$30$ dollars. If $144$ of these repair bills are

randomly selected, find the probability that they

have a mean cost bet $271$ dollars and $2735.$

Round to $4$ deaimals.

$A=0\mathrm{.}2881$

$B=0\mathrm{.}7881$

$C=0\mathrm{.}2119$

$D=0\mathrm{.}5517$