4. Past records show that the times, in seconds, taken to run 100 m by children at a school can be modelled by a normal distribution with a mean of 16.12 and a standard deviation of 1.60
A child from the school is selected at random.
- Find the probability that this child runs 100 m in less than 15 s .
On sports day the school awards certificates to the fastest \(30 \%\) of the children in the 100 m race.
- Estimate, to 2 decimal places, the slowest time taken to run 100 m for which a child will be awarded a certificate.