A bin has 5 balls. Each ball has a number associated with it that is draw the Normal(10, 1) distribotion An experiment involves choosing two halls without replacement from the bin The experimenter takes away a reward that is a sum of the numbers on the chosen balls Answer the following questions ( a) Derive the expected value of the reward. (b) Suppose you are told that one of the balls in the bin has the number & associated with 11 Derive the expected value of the reward

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 22E
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A bin has 5 balls. Each ball has a
number associated with it that is
draw the Normal(10, 1)
distribotion An experiment
involves choosing two halls
without replacement from the
bin The experimenter takes away
a reward that is a sum of the
numbers on the chosen balls
Answer the following questions (
a) Derive the expected value of
the reward. (b) Suppose you are
told that one of the balls in the
bin has the number & associated
with 11 Derive the expected
value of the reward
Transcribed Image Text:A bin has 5 balls. Each ball has a number associated with it that is draw the Normal(10, 1) distribotion An experiment involves choosing two halls without replacement from the bin The experimenter takes away a reward that is a sum of the numbers on the chosen balls Answer the following questions ( a) Derive the expected value of the reward. (b) Suppose you are told that one of the balls in the bin has the number & associated with 11 Derive the expected value of the reward
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