Question

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?

Answer 1

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.$\frac{1}{6}$ + 2·$\frac{1}{6}$ + 3·$\frac{1}{6}$ + 4.$\frac{1}{6}$ + 5.$\frac{1}{6}$ + 6.$\frac{1}{6}$

μ = $\frac{1+2+3+4+5+6}{6}$

μ =$\frac{21}{6}$

μ = 3.5

Thus, the mean of X is 3.5

Answer 2

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.