2. An investor has invested in nine different investments, The dollar return on the different investments are probabistically independent, and each return follows a normal distribution with means $50,000 and standard deviation of $10,000.
a. There is a 1% that the total return on the nine investments is less than what value? (Use the fact the sum of independent normal random variables is normally distributed, with mean equal to the sum of the individual means and variance equal to the sum of the individual variance.)
b. What is the probability that the investor’s total return is between $400,000 and 520,000?
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