Mean and standard deviation of normally distributed waiting times from the percentages in both tails

Mean and standard deviation of normally distributed waiting times from the percentages in both tails

6 marks

The times, in minutes, that patients spend in the waiting room of a clinic are normally distributed with mean \(\mu\) and standard deviation \(\sigma\). Records show that \(9\%\) of patients wait longer than \(48\) minutes and \(25\%\) of patients wait less than \(20\) minutes. Find the value of \(\mu\) and the value of \(\sigma\).[6]

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create a free account to practise similar questions.

Answer:\(\mu=29.4\text{ minutes},\ \sigma=13.9\text{ minutes}\)

Need help? Join our JC Math tuition classes.

Learn more