A die is weighted so that the probability of a 1 is 0.2, the probability of a 2 is 0.2, the probability of a 3 is 0.2, the probability of a 4 is 0.1, the probability of a 5 is 0.2, and the probability of a 6 is 0.1. An experiment consists of rolling the die until the total sum of all the dice rolled is greater than or equal to 3. If YY is the number of times the die is rolled, how many distinct values of YY are possible?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A die is weighted so that the probability of a 1 is 0.2, the probability of a 2 is 0.2, the probability of a 3 is 0.2, the probability of a 4 is 0.1, the probability of a 5 is 0.2, and the probability of a 6 is 0.1. An experiment consists of rolling the die until the total sum of all the dice rolled is greater than or equal to 3. If YY is the number of times the die is rolled, how many distinct values of YY are possible?
 
 
 

 

Part 2

 

 
Find the probability density function of YY (Note: Please write the values of YY in ascending order! 
 
Value of X Probability
   
   
   
 
 
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