You are involved in a risky business venture where three outcomes are possible: (1) you will lose not only your initial investment ($5000) but an additional $3000; (2) you will just make back your initial investment (for a net gain of $0); or (3) you will make back your initial investment plus an extra $10,000. The probability of (1) is half as large as the probability of (2), and the probability of (3) is one- third as large as the probability of (2). Find the expected value and standard deviation of your net gain (or loss) from this venture

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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You are involved in a risky business venture where three outcomes are possible:
(1) you will lose not only your initial investment ($5000) but an additional $3000;
(2) you will just make back your initial investment (for a net gain of $0); or
(3) you will make back your initial investment plus an extra $10,000.
The probability of (1) is half as large as the probability of (2), and the probability of (3) is one-
third as large as the probability of (2).
Find the expected value and standard deviation of your net gain (or loss) from this venture
Transcribed Image Text:You are involved in a risky business venture where three outcomes are possible: (1) you will lose not only your initial investment ($5000) but an additional $3000; (2) you will just make back your initial investment (for a net gain of $0); or (3) you will make back your initial investment plus an extra $10,000. The probability of (1) is half as large as the probability of (2), and the probability of (3) is one- third as large as the probability of (2). Find the expected value and standard deviation of your net gain (or loss) from this venture
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