7 Josie aims to catch a bus which departs at a fixed time every day. Josie arrives at the bus stop \(T\) minutes before the bus departs, where \(T \sim \mathrm {~N} \left( 5.3,2.1 ^ { 2 } \right)\).
- Find the probability that Josie has to wait longer than 6 minutes at the bus stop.
On \(5 \%\) of days Josie has to wait longer than \(x\) minutes at the bus stop. - Find the value of \(x\).
- Find the probability that Josie waits longer than \(x\) minutes on fewer than 3 days in 10 days.
- Find the probability that Josie misses the bus.