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

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 2

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.
`(1)/(6)` + 2·
`(1)/(6)` + 3·
`(1)/(6)` + 4.
`(1)/(6)` + 5.
`(1)/(6)` + 6.
`(1)/(6)`

μ =
`(1+2+3+4+5+6)/(6)`

μ =
`(21)/(6)`

μ = 3.5

Thus, the mean of X is 3.5