3 In Molimba, the heights, in cm , of adult males are normally distributed with mean 176 cm and standard deviation 4.8 cm .
- Find the probability that a randomly chosen adult male in Molimba has a height greater than 170 cm .
60\% of adult males in Molimba have a height between 170 cm and \(k \mathrm {~cm}\), where \(k\) is greater than 170 . - Find the value of \(k\), giving your answer correct to 1 decimal place.