Risk taking is an important part of investing. In order to make suitable investment decisions on behalf of their customers, portfolio managers give a questionnaireto new customers to measure their desire to take financial risks. The scores on the questionnaire are approximately normally distributed with a meanof 50.5 and a standard deviationof 15. The customers with scores in the bottom 10% are described as “risk averse.” What is the questionnaire score that separates customers who are considered risk averse from those who are not? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
This solution gives the step-by-step procedure to calculate probability from normal distribution.