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Let the random variable X be the outcome of rolling a 6-sided die. Assuming the die is fair, the probability distribution is as follows: X 1 2 3 4 5 6 Probability 1/6 1/6 1/6 1/6 1/6 1/6 Using the above table to answer the question: What is the mean of X?

Respuesta :

The answer would be 1.  

1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6.  
Divide by 6 and you have 1 for the answer.  

Answer: The mean is 3.5

Step-by-step explanation: For a discrete random variable probability, the mean is given by the formula: μ = ∑xiPi, where:

xi is the outcome and Pi is its probability.

In this case,

μ = 1.[tex]\frac{1}{6}[/tex] + 2·[tex]\frac{1}{6}[/tex] + 3·[tex]\frac{1}{6}[/tex] + 4.[tex]\frac{1}{6}[/tex] + 5.[tex]\frac{1}{6}[/tex] + 6.[tex]\frac{1}{6}[/tex]

μ = [tex]\frac{1+2+3+4+5+6}{6}[/tex]

μ =[tex]\frac{21}{6}[/tex]

μ = 3.5

Thus, the mean of X is 3.5

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