3.) A rat has to choose between 6 doors, one of which contains chocolate. If the rat chooses the wrong door, it is returned to the starting point and chooses again, and continues until it gets the chocolate. Let X be the serial number of the trial on which the chocolate is found. (a) Find the probability function of X. (b) What is the expectation of X?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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3.) A rat has to choose between 6 doors, one of which contains chocolate. If the rat chooses the wrong door, it is returned to the starting point and chooses again, and continues until it gets the chocolate. Let X be the serial number of the trial on which the chocolate is found.

(a) Find the probability function of X.

(b) What is the expectation of X?

 

 

 

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