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 49.5 and a standard deviation of 14. 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 one decimal place. ?

MATLAB: An Introduction with Applications
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**Understanding Risk Aversion in Investment Decisions**

Risk-taking is a crucial aspect of investing. To make appropriate investment decisions for their clients, portfolio managers often assess new customers' willingness to take financial risks. This is done through a questionnaire, and the scores from this questionnaire are typically normally distributed with a mean of 49.5 and a standard deviation of 14.

Customers scoring in the bottom 10% are identified as "risk-averse." 

The task is to determine the questionnaire score that distinguishes risk-averse customers from those who are not. This involves calculating the score threshold that corresponds to the lower 10% of the distribution, following a normal distribution curve.

The calculations should be carried to at least four decimal places, with the final answer rounded to one decimal place.
Transcribed Image Text:**Understanding Risk Aversion in Investment Decisions** Risk-taking is a crucial aspect of investing. To make appropriate investment decisions for their clients, portfolio managers often assess new customers' willingness to take financial risks. This is done through a questionnaire, and the scores from this questionnaire are typically normally distributed with a mean of 49.5 and a standard deviation of 14. Customers scoring in the bottom 10% are identified as "risk-averse." The task is to determine the questionnaire score that distinguishes risk-averse customers from those who are not. This involves calculating the score threshold that corresponds to the lower 10% of the distribution, following a normal distribution curve. The calculations should be carried to at least four decimal places, with the final answer rounded to one decimal place.
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