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A young investment manager tells his client that the probability of making a positive return with his suggested portfolio is 77%. If it is known

A young investment manager tells his client that the probability of making a positive return with his suggested portfolio is 77%. If it is known that returns are normally distributed with a mean of 5.8%, what is the risk, measured by standard deviation, that this investment manager assumes in his calculation? (You may find it useful to reference the z table. Round "z" value and final answer to 3 decimal places.)

Standard deviation :

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