5. A health club lets members use, on each visit, its facilities for as long as they wish. The club's records suggest that the length of a visit can be modelled by a normal distribution with mean 90 minutes. Only \(20 \%\) of members stay for more than 125 minutes.
- Find the standard deviation of the normal distribution.
- Find the probability that a visit lasts less than 25 minutes.
The club introduce a closing time of 10:00 pm. Tara arrives at the club at 8:00 pm.
- Explain whether or not this normal distribution is still a suitable model for the length of her visit.