IB Statistics and Probability Problem 014
The heights in a group of seven-year-old children are normally distributed with a mean of \(117\,cm\) and a standard deviation of \(5\,cm\). A child is chosen at random from this group.
- Find the probability that this child is taller than \(122.5\,cm\).
- The probability that this child is shorter than \(k\,cm\) is \(0.65\). Find the value of \(k\).