Consider the lottery = (0.1, 0.5, 0.4) defined over the outcomes X = {R100, R400, R900) (i.e., the lottery pays out R100 with a probability of 0.1, R400 with a probability of 0.5, and R900 with a probability of 0.4). a) What is the expected value of this lottery? b) Find another lottery, over only the best (R900) and worst (R100) outcomes, which has the same expected value as lottery (Hint: the sum of the probabilities assigned to outcomes

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Consider the lottery = (0.1, 0.5, 0.4)
defined over the outcomes X = {R100,
R400, R900} (i.e., the lottery pays out
R100 with a probability of 0.1, R400
with a probability of 0.5, and R900
with a probability of 0.4). a) What is
the expected value of this lottery? b)
Find another lottery, over only the
best (R900) and worst (R100)
outcomes, which has the same
expected value as lottery (Hint: the
sum of the probabilities assigned to
outcomes
Transcribed Image Text:Consider the lottery = (0.1, 0.5, 0.4) defined over the outcomes X = {R100, R400, R900} (i.e., the lottery pays out R100 with a probability of 0.1, R400 with a probability of 0.5, and R900 with a probability of 0.4). a) What is the expected value of this lottery? b) Find another lottery, over only the best (R900) and worst (R100) outcomes, which has the same expected value as lottery (Hint: the sum of the probabilities assigned to outcomes
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