An investor invested in 9 different investments. The dollar returns on the different investments are probabilistically independent, and each return follows a normative distribution with mean $50,000 and standard deviation $10,000.There is a 1% chance that the total return on the 9 investments is less than what value?What is the probability that the investor’s total return is between $400,000 and $520,000?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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An investor invested in 9 different investments. The dollar returns on the different investments are probabilistically independent, and each return follows a normative distribution with mean $50,000 and standard deviation $10,000.
There is a 1% chance that the total return on the 9 investments is less than what value?
What is the probability that the investor’s total return is between $400,000 and $520,000?

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