# distriubation

• July 7th 2007, 10:44 AM
harry
distriubation
Normal distribution raw scores.

Risk taking is an important part of investing. In order to make suitable investment decisions on behalf of their customers, portfolio managers give a questionnaire to new
customers to measure their desire to take financial risks. The scores on the questionnaire are approximately normally distributed with a mean of 51 and a standard
deviation of 14 . The customers with scores in the bottom are 15% 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.
• July 7th 2007, 10:53 AM
galactus
If you look up 0.15 in the body of the normal distribution table, we see it corresponds very close to a z-score of -1.0365.

$-1.0365=\frac{x-51}{14}$

Solve for x.