n experiment consisting of tossing a fair coin and a fair dice is conducted. A Aandom variable X assigns each elementary event a numeric value by adding 1 to the number of spots the dice shows if the coin lands heads, otherwise subtract 1 from the number of spots the dice shows  i) Draw the arrow diagram of X. ii) Write out the probability distribution of X.  iii) What is the expectation of X?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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An experiment consisting of tossing a fair coin and a fair dice is conducted. A Aandom variable X assigns each elementary event a numeric value by adding 1 to the number of spots the dice shows if the coin lands heads, otherwise subtract 1 from the number of spots the dice shows 

i) Draw the arrow diagram of X.

ii) Write out the probability distribution of X. 

iii) What is the expectation of X?

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