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Problem 1.29 I arrive home from a feast and attempt to open my front door with one of the three keys in my pocket. (You may assume that exactly one key will open the door and that if I use it I will be successful.) Find the expected number a of tries that I will need if I take the keys at random from my pocket but drop any key that fails onto the ground. Find the expected number b of tries that I will need if I take the keys at random from my pocket and immediately put back into my pocket any key that fails. Find a and b and check that b-a=1.

Problem 1.29 I arrive home from a feast and attempt to open my front door with one of the three keys in my pocket. (You may assume that exactly one key will open the door and that if I use it I will be successful.) Find the expected number a of tries that I will need if I take the keys at random from my pocket but drop any key that fails onto the ground. Find the expected number b of tries that I will need if I take the keys at random from my pocket and immediately put back into my pocket any key that fails. Find a and b and check that b-a=1.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Problem 1.29 I arrive home from a feast and attempt to open my front door with one of the three keys in my pocket. (You may assume that exactly one key will open the door and that if I use it I will be successful.) Find the expected number a of tries that I will need if I take the keys at random from my pocket but drop any key that fails onto the ground. Find the expected number b of tries that I will need if I take the keys at random from my pocket and immediately put back into my pocket any key that fails. Find a and b and check that b-a=1.
Transcribed Image Text:Problem 1.29 I arrive home from a feast and attempt to open my front door with one of the three keys in my pocket. (You may assume that exactly one key will open the door and that if I use it I will be successful.) Find the expected number a of tries that I will need if I take the keys at random from my pocket but drop any key that fails onto the ground. Find the expected number b of tries that I will need if I take the keys at random from my pocket and immediately put back into my pocket any key that fails. Find a and b and check that b-a=1.
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