+0  
 
+1
54
6
avatar+78 

1. 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.

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

 

 

 

2. 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.

What is the expected value of the number shown if we add one additional 9 to the bag. 

 

 

3. 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.

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

 

 

4. 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.

How many 9's do we have to add to make the expected value equal to 6?

 Aug 13, 2020
edited by uvacowdo  Aug 13, 2020
 #1
avatar+22 
+2

I think you were trying to use LaTeX for your numbers, which is really a nice touch, but it isn't showing up.

I can try and help you... once you add in those numbers.

 

(It is just a liiiitttle hard to solve math problems where all the numbers are excluded.) wink

 Aug 13, 2020
 #2
avatar+78 
+1

hehe... i put them now

uvacowdo  Aug 13, 2020
 #3
avatar+22 
+2

1. Simply average all the numbers: you get 4.2!

 Aug 13, 2020
 #4
avatar+78 
+1

thank you!

 

if this isnt too much to ask...could you try the others?

uvacowdo  Aug 13, 2020
 #5
avatar+22 
+2

2. Same thing, average all the numbers with an additional 9. You will get 4.63636363636 or 51/11 .

 

3. Well, you know the drill  by now; average! When there are two extra 9's, we get 5 as the expected value.

 

4. When you add 6 extra 9's you get 6 as the expected value. 

 

:D I hope this helps you!

 Aug 13, 2020
 #6
avatar+78 
+1

thanks so much!

 

im tryna upvote your answers but it doesnt work! crying

uvacowdo  Aug 13, 2020

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