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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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5. An investor has invested in nine different investments.
The dollar returns on the different investments are
probabilistically independent, and each return follows
a normal distribution with mean $50,000 and standard
deviation $10,000.
a. There is a 1% chance that the total return on the
nine investments is less than what value?
b. What is the probability that the investor's total
return is between $400,000 and $520,000?
Transcribed Image Text:5. An investor has invested in nine different investments. The dollar returns on the different investments are probabilistically independent, and each return follows a normal distribution with mean $50,000 and standard deviation $10,000. a. There is a 1% chance that the total return on the nine investments is less than what value? b. What is the probability that the investor's total return is between $400,000 and $520,000?
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