11.3k views
5 votes
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?

User Dhamu
by
8.7k points

2 Answers

5 votes
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.
User Amit Kotha
by
7.2k points
3 votes

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

User Cameron Tacklind
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories