Question

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. The mean of a random variable represents the​ "theoretical average" of a probability experiment and sometimes is not a possible outcome.Choose the correct answer below.A. True.B. False. The mean of a random variable describes a typical outcome and gives information about how the outcomes vary.C. False. The mean of a random variable represents the​"theoretical average" of a probability experiment and is the most likely possible outcome.

Answer 1

Answer:

true

False

true

Step-by-step explanation:

Statement 1:

- It is true that mean gives us the theoretical average of probability distribution and sometimes it is not a possible outcome. Their could be instances when data is skewed or sample is too less or any other biases or experimental errors can lead to discrepancies in theoretical and actual averages.

Statement 2:

- The mean value of the random variable does describes a typical outcome; however, it does not tell us the variations in outcomes which is denoted by standard deviation. Hence, False

Statement 3:

- The statement is true as mean gives us the theoretical average of probability distribution and is the most likely outcome. It is due to the fact that its an average of the all outcomes or a value or outcome around which majority of outcomes lay around.