The length of time, \(L\) hours, that a phone will work before it needs charging is normally distributed with a mean of 100 hours and a standard deviation of 15 hours.
Find \(\mathrm { P } ( L > 127 )\).
Find the value of \(d\) such that \(\mathrm { P } ( L < d ) = 0.10\)
Alice is about to go on a 6 hour journey.
Given that it is 127 hours since Alice last charged her phone,
find the probability that her phone will not need charging before her journey is completed.