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Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them.

 

 

a) What is the expected value of the number shown when we draw a single slip of paper?

b) What is the expected value of the number shown if we add one additional $9$ to the bag?

c) What is the expected value of the number shown if we add two additional $9$'s (instead of just one) to the bag?

 Jul 22, 2021
 #1
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a)   3(8/10)  +  9(2/10)  =  24/10  + 18/10   =   42/10  =   4.2

 

b)  3(8/11)  + 9 (3/11)  =  24/11   +  27 /11   =  51/11  ≈   4.63

 

c)  3 ( 8/12)  + 9(4/12)  =  24/12  + 36/12  =   60/12  =   5

 

 

 

 

 

cool cool cool

 Jul 22, 2021
 #2
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part a is wrong but the rest are corrcect

Guest Jul 22, 2021

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