Upper-tail probability and a lower percentile for normally distributed battery lifetimes

The lifetimes of a brand of torch battery are normally distributed with mean \(420\) hours and standard deviation \(35\) hours.

1. Find the probability that a battery of this brand lasts for more than \(470\) hours.[3]
2. Of these batteries, \(6.3\%\) last for less than \(d\) hours. Find the value of \(d\).[3]