ALASKA INVESTMENT CORP has decided to choose two of a group of three utility stocks. Suppose we label the stocks as 1, 2, and 3 and assume that stock 1 has the least growth potential and stocks 2 and 3 the greatest growth potential. Four events are defined as follows: X: The investor chooses the two stocks with the greatest growth potential. Q: The investor chooses stock 3. R: The investor chooses stock 1. S: The investor chooses at least one of the two stocks 2 or 3. Are the events X and Q mutually exclusive events? Justify your answer.

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ALASKA INVESTMENT CORP has decided to choose two of a group of three utility stocks. Suppose we label the stocks as 1, 2, and 3 and assume that stock 1 has the least growth potential and stocks 2 and 3 the greatest growth potential. Four events are defined as follows:  

X: The investor chooses the two stocks with the greatest growth potential.  

Q: The investor chooses stock 3. 

R: The investor chooses stock 1.  

S: The investor chooses at least one of the two stocks 2 or 3. 

Are the events X and Q mutually exclusive events? Justify your answer.  

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