An investment bank has been monitoring its return on investment for a certain category of its shareholders.

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An investment bank has been monitoring its return on investment for a certain category of its shareholders. Past data show a mean yield of 7.5% with a standard deviation of 1.5%. Assuming normality of distribution of yield rates, if senior management has set a goal of 9% for yield, what is the lower capability index? In what proportion of the time will the goal be met?

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