top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration Why to Join

    Get Free Puzzle Updates

Facebook Login
Site Registration

You are out shopping with $N, and you find an item whose price has a random value between $0 and $N.

0 votes
42 views

You are out shopping one day with $N, and you find an item whose price has a random value between $0 and $N. You buy as many of these items as you can with your $N. What is the expected value of the money you have left over?

(Assume that $N is large compared to a penny, so that the distribution of prices is essentially continuous.)

posted Jun 9, 2017 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button Google+ Share Button LinkedIn Share Button Multiple Social Share Button

1 Answer

0 votes

expected value of the item=average of all the random numbers between 0 and N which is N/2. Hence he can buy 2 of these items and
he will be left with nothing.

answer Jun 19, 2017 by Kewal Panesar



Similar Puzzles
0 votes

A shipment of butterflies was mixed up by the dock workers, and they could not find who bought which species, where it was from, and what was the price. All the workers know is that Alejandro, Faye, Yvette, Sophie, and Zachary could have each bought butterflies that cost $60, $75, $90, $105, or $120. Each could have bought the Clearwing, the Emperor, the Grayling, the Swallowtail, or the Torturix butterflies. Each butterfly could have lived in Australia, Jordan, Luxembourg, Panama, or Qatar. It is up to you to find out who bought which butterfly, what was the price, and where did it come from with the provided clues:

  1. Neither the butterfly from Luxembourg nor the one from Australia sold for $90.

  2. The Emperor butterfly cost $30 more than the Torturix butterfly.

  3. Zachary's purchase was $75.

  4. The butterfly from Australia cost less than the one from Luxembourg.

  5. Alejandro's purchase was from Luxembourg.

  6. Of Yvette's purchase and the purchase for $60, one was from Qatar and the other was the Torturix.

  7. The butterfly that sold for $120 was not from Panama.

  8. The insect from Australia was not the Torturix.

  9. Faye bought the Torturix.

  10. Sophie did not buy the Grayling.

  11. Of the Emperor and the insect worth $105, one was won by Yvette and the other was from Luxembourg.

  12. The insect that sold for $105 was the Swallowtail.

0 votes

Once you figure out the logic between the numbers, find the value of X & Y in the pyramid.

enter image description here

Contact Us
+91 9880187415
sales@queryhome.net
support@queryhome.net
#280, 3rd floor, 5th Main
6th Sector, HSR Layout
Bangalore-560102
Karnataka INDIA.
QUERY HOME
...