As a broker for GetRich Investments your clients’ rates of return are a major concern. Your records show that the mean returns for the last 500 clients was 5.4% with a standard deviation of 3.2% and that the returns are normally distributed. As the stock market rebounds your clients are dissatisfied if their returns fall below 9.6% and they will rely on the advice of a different financial advisor. What is the percentage of clients you will lose?
Ans:
Given that
mean=5.4
standard deviation=3.2
z(9.6)=(9.6-5.4)/3.2=1.3125
P(z<1.3125)=0.9053
So,90.53% of the clients you will lose.
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