Consider if we are simply given that latex \mathrm{P}(X < 4.2) = 0.2latex \mathrm{P}(X > 8) = 0.1latex \alpha \mathrm{P}(X < \mu_0 – \alpha) = \mathrm{P}(X < \mu_0 + \alpha)latex \mu$. And it so happens that the mean of the standard normal distribution is zero.

Students may want to reference a 2014 ACJC Prelim Question here to see if they can do it.

Statistics related articles – The Culture[…] Type I vs Type II Errors 9. A little about Central Limit Theorem 10. What is a good estimate? 11. Using symmetrical properties of Normal Curve to solve questions 12. Bayesian vs Frequentist […]