6 The times taken, in minutes, to complete a particular task by employees at a large company are normally distributed with mean 32.2 and standard deviation 9.6.
- Find the probability that a randomly chosen employee takes more than 28.6 minutes to complete the task.
- \(20 \%\) of employees take longer than \(t\) minutes to complete the task.
Find the value of \(t\).
- Find the probability that the time taken to complete the task by a randomly chosen employee differs from the mean by less than 15.0 minutes.