A physical fitness association is including the mile run in its secondary$-$school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of $470$ seconds and a standard deviation of $51$ seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than $357$ seconds.

$0\mathrm{.}5107$

$0\mathrm{.}4893$

$0\mathrm{.}9893$

$0\mathrm{.}0134$