(i)[4]
Determine the probability that, out of these occasions, the symphony lasts more than $42$ minutes exactly $1$ time.
(ii)[5]
The times needed to play Beethoven’s Fifth Symphony may also be treated as normally distributed. The chance that the time is below $26.5$ minutes is $0.1$, while the chance that the time exceeds $34.6$ minutes is $0.05$. Find the mean and standard deviation of the times taken to play this symphony.
(iii)[4]
Given that the times to perform the two symphonies are independent, find the probability that, when both symphonies are performed, both times are under $34.6$ minutes.