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You roll a standard 6-sided die. Find the expected value for each experiment.

(a) You earn 6 points for each dot on the side that lands up. 
_____ points 

(b) You earn 6 points if it lands on a composite number and lose 6 points if it does not land on a composite number. 
_____ points

 Sep 28, 2018

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a) E[X]=6∑k=1 16(6k)=6⋅72=21

 

b) E[X]=16(6+6+6−6+6−6)=2 (1,2,3,5 are !composite, 4 and 6 are composite)

 Sep 28, 2018

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